3311157360 has 640 divisors, whose sum is σ = 13213440000. Its totient is φ = 682795008.

The previous prime is 3311157359. The next prime is 3311157373. The reversal of 3311157360 is 637511133.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 45358284 + ... + 45358356.

It is an arithmetic number, because the mean of its divisors is an integer number (20646000).

Almost surely, 2^3311157360 is an apocalyptic number.

3311157360 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 3311157360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606720000).

3311157360 is an abundant number, since it is smaller than the sum of its proper divisors (9902282640).

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

3311157360 is a wasteful number, since it uses less digits than its factorization.

3311157360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 3311157360 is about 57542.6568729669. The cubic root of 3311157360 is about 1490.4815583836.

Adding to 3311157360 its reverse (637511133), we get a palindrome (3948668493).

The spelling of 3311157360 in words is "three billion, three hundred eleven million, one hundred fifty-seven thousand, three hundred sixty".