3387024961320 has 2048 divisors, whose sum is σ = 14928964485120. Its totient is φ = 591833088000.

The previous prime is 3387024961303. The next prime is 3387024961339. The reversal of 3387024961320 is 231694207833.

3387024961320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3387024961320² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3387024961320.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6080834482 + ... + 6080835038.

It is an arithmetic number, because the mean of its divisors is an integer number (7289533440).

Almost surely, 2^{3387024961320} is an apocalyptic number.

3387024961320 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 3387024961320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464482242560).

3387024961320 is an abundant number, since it is smaller than the sum of its proper divisors (11541939523800).

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

3387024961320 is a wasteful number, since it uses less digits than its factorization.

3387024961320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 3387024961320 in words is "three trillion, three hundred eighty-seven billion, twenty-four million, nine hundred sixty-one thousand, three hundred twenty".