3705875946864 has 240 divisors, whose sum is σ = 13319671153152. Its totient is φ = 934879283712.

The previous prime is 3705875946863. The next prime is 3705875946889. The reversal of 3705875946864 is 4686495785073.

3705875946864 is a `hidden beast` number, since 3 + 7 + 0 + 58 + 7 + 59 + 468 + 64 = 666.

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 = 3705875946792 and 3705875946801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3705875946863) 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, 5846542 + ... + 6449325.

Almost surely, 2^{3705875946864} is an apocalyptic number.

It is an amenable number.

3705875946864 is an abundant number, since it is smaller than the sum of its proper divisors (9613795206288).

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

3705875946864 is a wasteful number, since it uses less digits than its factorization.

3705875946864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12295924 (or 12295915 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 3705875946864 in words is "three trillion, seven hundred five billion, eight hundred seventy-five million, nine hundred forty-six thousand, eight hundred sixty-four".