3376875720960 has 1728 divisors, whose sum is σ = 14440712832000. Its totient is φ = 726754000896.

The previous prime is 3376875720923. The next prime is 3376875720971. The reversal of 3376875720960 is 690275786733.

3376875720960 is a `hidden beast` number, since 3 + 376 + 8 + 7 + 57 + 209 + 6 + 0 = 666.

It is a super-2 number, since 2×3376875720960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6634333186 + ... + 6634333694.

It is an arithmetic number, because the mean of its divisors is an integer number (8356894000).

Almost surely, 2^{3376875720960} is an apocalyptic number.

3376875720960 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 3376875720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7220356416000).

3376875720960 is an abundant number, since it is smaller than the sum of its proper divisors (11063837111040).

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

3376875720960 is a wasteful number, since it uses less digits than its factorization.

3376875720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 3376875720960 in words is "three trillion, three hundred seventy-six billion, eight hundred seventy-five million, seven hundred twenty thousand, nine hundred sixty".