3387117312 has 108 divisors (see below), whose sum is σ = 9931816440. Its totient is φ = 1109858304.

The previous prime is 3387117301. The next prime is 3387117313. The reversal of 3387117312 is 2137117833.

3387117312 is a `hidden beast` number, since 338 + 7 + 1 + 1 + 7 + 312 = 666.

It is a super-2 number, since 2×3387117312² = 22945127370500210688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3387117313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123478 + ... + 148394.

Almost surely, 2^3387117312 is an apocalyptic number.

3387117312 is a gapful number since it is divisible by the number (32) 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 3387117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965908220).

3387117312 is an abundant number, since it is smaller than the sum of its proper divisors (6544699128).

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

3387117312 is a wasteful number, since it uses less digits than its factorization.

3387117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24998 (or 24981 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 3387117312 is about 58198.9459698369. The cubic root of 3387117312 is about 1501.7930132151.

The spelling of 3387117312 in words is "three billion, three hundred eighty-seven million, one hundred seventeen thousand, three hundred twelve".