3387215009952 has 192 divisors, whose sum is σ = 10851490944000. Its totient is φ = 1023140346624.

The previous prime is 3387215009947. The next prime is 3387215010017. The reversal of 3387215009952 is 2599005127833.

3387215009952 is a `hidden beast` number, since 3 + 3 + 87 + 2 + 1 + 500 + 9 + 9 + 52 = 666.

It is a super-2 number, since 2×3387215009952² (a number of 26 digits) 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 31 ways as a sum of consecutive naturals, for example, 4108002 + ... + 4863137.

It is an arithmetic number, because the mean of its divisors is an integer number (56518182000).

Almost surely, 2^{3387215009952} is an apocalyptic number.

3387215009952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3387215009952 is an abundant number, since it is smaller than the sum of its proper divisors (7464275934048).

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

3387215009952 is a wasteful number, since it uses less digits than its factorization.

3387215009952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8971200 (or 8971186 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 3387215009952 in words is "three trillion, three hundred eighty-seven billion, two hundred fifteen million, nine thousand, nine hundred fifty-two".