3751901831160 has 768 divisors, whose sum is σ = 14830745932800. Its totient is φ = 826348400640.

The previous prime is 3751901831147. The next prime is 3751901831297. The reversal of 3751901831160 is 611381091573.

3751901831160 is a `hidden beast` number, since 3 + 7 + 519 + 0 + 18 + 3 + 116 + 0 = 666.

It is a super-2 number, since 2×3751901831160² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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, 1054792102 + ... + 1054795658.

It is an arithmetic number, because the mean of its divisors is an integer number (19310867100).

Almost surely, 2^{3751901831160} is an apocalyptic number.

3751901831160 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 3751901831160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415372966400).

3751901831160 is an abundant number, since it is smaller than the sum of its proper divisors (11078844101640).

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

3751901831160 is a wasteful number, since it uses less digits than its factorization.

3751901831160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 3751901831160 in words is "three trillion, seven hundred fifty-one billion, nine hundred one million, eight hundred thirty-one thousand, one hundred sixty".