3372756766080 has 256 divisors, whose sum is σ = 11580663709440. Its totient is φ = 829999964160.

The previous prime is 3372756766051. The next prime is 3372756766163. The reversal of 3372756766080 is 806676572733.

It is a super-2 number, since 2×3372756766080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 108884995 + ... + 108915965.

It is an arithmetic number, because the mean of its divisors is an integer number (45236967615).

Almost surely, 2^{3372756766080} is an apocalyptic number.

3372756766080 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 3372756766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5790331854720).

3372756766080 is an abundant number, since it is smaller than the sum of its proper divisors (8207906943360).

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

3372756766080 is a wasteful number, since it uses less digits than its factorization.

3372756766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35369 (or 35357 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 60.

The spelling of 3372756766080 in words is "three trillion, three hundred seventy-two billion, seven hundred fifty-six million, seven hundred sixty-six thousand, eighty".