3337117056 has 512 divisors, whose sum is σ = 12365337600. Its totient is φ = 873400320.

The previous prime is 3337117027. The next prime is 3337117123. The reversal of 3337117056 is 6507117333.

It is a happy number.

It is a super-2 number, since 2×3337117056² = 22272700490892214272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3337117056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25474111 + ... + 25474241.

It is an arithmetic number, because the mean of its divisors is an integer number (24151050).

Almost surely, 2^3337117056 is an apocalyptic number.

3337117056 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 3337117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182668800).

3337117056 is an abundant number, since it is smaller than the sum of its proper divisors (9028220544).

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

3337117056 is an equidigital number, since it uses as much as digits as its factorization.

3337117056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 3337117056 is about 57767.7856248619. The cubic root of 3337117056 is about 1494.3665815501.

The spelling of 3337117056 in words is "three billion, three hundred thirty-seven million, one hundred seventeen thousand, fifty-six".