3745873892880 has 240 divisors, whose sum is σ = 15133706440320. Its totient is φ = 811136581632.

The previous prime is 3745873892851. The next prime is 3745873892881. The reversal of 3745873892880 is 882983785473.

3745873892880 is a `hidden beast` number, since 3 + 7 + 4 + 587 + 38 + 9 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3745873892799 and 3745873892808.

It is not an unprimeable number, because it can be changed into a prime (3745873892881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19462897 + ... + 19654416.

It is an arithmetic number, because the mean of its divisors is an integer number (63057110168).

Almost surely, 2^{3745873892880} is an apocalyptic number.

3745873892880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3745873892880 is an abundant number, since it is smaller than the sum of its proper divisors (11387832547440).

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

3745873892880 is a wasteful number, since it uses less digits than its factorization.

3745873892880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39117358 (or 39117349 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 3745873892880 in words is "three trillion, seven hundred forty-five billion, eight hundred seventy-three million, eight hundred ninety-two thousand, eight hundred eighty".