3752828368320 has 448 divisors, whose sum is σ = 12284751859200. Its totient is φ = 970246717440.

The previous prime is 3752828368297. The next prime is 3752828368339. The reversal of 3752828368320 is 238638282573.

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 63 ways as a sum of consecutive naturals, for example, 2757404440 + ... + 2757405800.

Almost surely, 2^{3752828368320} is an apocalyptic number.

3752828368320 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 3752828368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142375929600).

3752828368320 is an abundant number, since it is smaller than the sum of its proper divisors (8531923490880).

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

3752828368320 is a wasteful number, since it uses less digits than its factorization.

3752828368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 3752828368320 in words is "three trillion, seven hundred fifty-two billion, eight hundred twenty-eight million, three hundred sixty-eight thousand, three hundred twenty".