3706875601920 has 1320 divisors, whose sum is σ = 14025234763584. Its totient is φ = 935940096000.

The previous prime is 3706875601901. The next prime is 3706875601993. The reversal of 3706875601920 is 291065786073.

3706875601920 is a `hidden beast` number, since 3 + 7 + 0 + 6 + 8 + 7 + 5 + 601 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28296760255 + ... + 28296760385.

Almost surely, 2^{3706875601920} is an apocalyptic number.

3706875601920 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 3706875601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012617381792).

3706875601920 is an abundant number, since it is smaller than the sum of its proper divisors (10318359161664).

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

3706875601920 is a wasteful number, since it uses less digits than its factorization.

3706875601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 3706875601920 in words is "three trillion, seven hundred six billion, eight hundred seventy-five million, six hundred one thousand, nine hundred twenty".