3751754872320 has 2560 divisors, whose sum is σ = 17232817029120. Its totient is φ = 752467968000.

The previous prime is 3751754872319. The next prime is 3751754872337. The reversal of 3751754872320 is 232784571573.

3751754872320 is a `hidden beast` number, since 3 + 7 + 5 + 1 + 7 + 548 + 72 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13844113785 + ... + 13844114055.

It is an arithmetic number, because the mean of its divisors is an integer number (6731569152).

Almost surely, 2^{3751754872320} is an apocalyptic number.

3751754872320 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 3751754872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8616408514560).

3751754872320 is an abundant number, since it is smaller than the sum of its proper divisors (13481062156800).

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

3751754872320 is a wasteful number, since it uses less digits than its factorization.

3751754872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 3751754872320 in words is "three trillion, seven hundred fifty-one billion, seven hundred fifty-four million, eight hundred seventy-two thousand, three hundred twenty".