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3368648736 = 25351721499
BaseRepresentation
bin1100100011001001…
…1000000000100000
322200202201002100000
43020302120000200
523344333224421
61314133500000
7146323020225
oct31062300040
98622632300
103368648736
111479572722
127a01a1600
13418b99a9b
1423d56994c
1514ab13226
hexc8c98020

3368648736 has 216 divisors, whose sum is σ = 10560186000. Its totient is φ = 1056125952.

The previous prime is 3368648693. The next prime is 3368648741. The reversal of 3368648736 is 6378468633.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×33686487362 = 22695588613108795392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2246515 + ... + 2248013.

It is an arithmetic number, because the mean of its divisors is an integer number (48889750).

Almost surely, 23368648736 is an apocalyptic number.

3368648736 is a gapful number since it is divisible by the number (36) 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 3368648736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280093000).

3368648736 is an abundant number, since it is smaller than the sum of its proper divisors (7191537264).

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

3368648736 is a wasteful number, since it uses less digits than its factorization.

3368648736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1521 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 3368648736 is about 58040.0614748124. The cubic root of 3368648736 is about 1499.0584811518.

The spelling of 3368648736 in words is "three billion, three hundred sixty-eight million, six hundred forty-eight thousand, seven hundred thirty-six".