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3398794248960 = 2833511193143353
BaseRepresentation
bin110001011101010111111…
…011001000001100000000
3110000220212211000010222000
4301131113323020030000
5421141212311431320
611121215020144000
7500361201304665
oct61352773101400
913026784003860
103398794248960
1110a0469824510
1246a861398000
131b8674412196
14ba706cada6c
155d625367c90
hex31757ec8300

3398794248960 has 2304 divisors, whose sum is σ = 14670648115200. Its totient is φ = 735746457600.

The previous prime is 3398794248959. The next prime is 3398794249021. The reversal of 3398794248960 is 698424978933.

3398794248960 is a `hidden beast` number, since 3 + 3 + 9 + 87 + 9 + 4 + 2 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×33987942489602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9628312144 + ... + 9628312496.

It is an arithmetic number, because the mean of its divisors is an integer number (6367468800).

Almost surely, 23398794248960 is an apocalyptic number.

3398794248960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3398794248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335324057600).

3398794248960 is an abundant number, since it is smaller than the sum of its proper divisors (11271853866240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3398794248960 is a wasteful number, since it uses less digits than its factorization.

3398794248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 3398794248960 in words is "three trillion, three hundred ninety-eight billion, seven hundred ninety-four million, two hundred forty-eight thousand, nine hundred sixty".