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3490685820 = 22335173743239
BaseRepresentation
bin1101000000001111…
…1010001101111100
3100000021100012202000
43100003322031330
524122103421240
61334213302300
7152334224406
oct32003721574
910007305660
103490685820
111531445a16
12815034990
13438257c8b
14251855b76
151566bc430
hexd00fa37c

3490685820 has 384 divisors, whose sum is σ = 12134707200. Its totient is φ = 829108224.

The previous prime is 3490685801. The next prime is 3490685831. The reversal of 3490685820 is 285860943.

3490685820 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 68 + 582 + 0 = 666.

3490685820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14605261 + ... + 14605499.

It is an arithmetic number, because the mean of its divisors is an integer number (31600800).

Almost surely, 23490685820 is an apocalyptic number.

3490685820 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 3490685820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067353600).

3490685820 is an abundant number, since it is smaller than the sum of its proper divisors (8644021380).

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

3490685820 is a wasteful number, since it uses less digits than its factorization.

3490685820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3490685820 is about 59082.0262008676. The cubic root of 3490685820 is about 1516.9464639102.

The spelling of 3490685820 in words is "three billion, four hundred ninety million, six hundred eighty-five thousand, eight hundred twenty".