3372788795040 has 1152 divisors, whose sum is σ = 14068251445248. Its totient is φ = 746958827520.

The previous prime is 3372788795017. The next prime is 3372788795059. The reversal of 3372788795040 is 405978872733.

3372788795040 is a `hidden beast` number, since 3 + 37 + 27 + 8 + 8 + 79 + 504 + 0 = 666.

It is a super-2 number, since 2×3372788795040² (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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3091464895 + ... + 3091465985.

It is an arithmetic number, because the mean of its divisors is an integer number (12212023824).

Almost surely, 2^{3372788795040} is an apocalyptic number.

3372788795040 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 3372788795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034125722624).

3372788795040 is an abundant number, since it is smaller than the sum of its proper divisors (10695462650208).

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

3372788795040 is a wasteful number, since it uses less digits than its factorization.

3372788795040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 3372788795040 in words is "three trillion, three hundred seventy-two billion, seven hundred eighty-eight million, seven hundred ninety-five thousand, forty".