3752400504960 has 320 divisors, whose sum is σ = 13403915553600. Its totient is φ = 1000385095680.

The previous prime is 3752400504907. The next prime is 3752400504991. The reversal of 3752400504960 is 694050042573.

3752400504960 is a `hidden beast` number, since 3 + 7 + 52 + 4 + 0 + 0 + 504 + 96 + 0 = 666.

3752400504960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 293356165 + ... + 293368955.

It is an arithmetic number, because the mean of its divisors is an integer number (41887236105).

Almost surely, 2^{3752400504960} is an apocalyptic number.

3752400504960 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 3752400504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701957776800).

3752400504960 is an abundant number, since it is smaller than the sum of its proper divisors (9651515048640).

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

3752400504960 is a wasteful number, since it uses less digits than its factorization.

3752400504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18481 (or 18460 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 3752400504960 in words is "three trillion, seven hundred fifty-two billion, four hundred million, five hundred four thousand, nine hundred sixty".