3397736160 has 960 divisors, whose sum is σ = 15326986752. Its totient is φ = 689762304.

The previous prime is 3397736113. The next prime is 3397736171. The reversal of 3397736160 is 616377933.

It is a super-2 number, since 2×3397736160² = 23089222025943091200, which contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 50712447 + ... + 50712513.

Almost surely, 2^3397736160 is an apocalyptic number.

3397736160 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 3397736160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663493376).

3397736160 is an abundant number, since it is smaller than the sum of its proper divisors (11929250592).

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

3397736160 is a wasteful number, since it uses less digits than its factorization.

3397736160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The square root of 3397736160 is about 58290.1034481841. The cubic root of 3397736160 is about 1503.3607844616.

The spelling of 3397736160 in words is "three billion, three hundred ninety-seven million, seven hundred thirty-six thousand, one hundred sixty".