3685167984 has 80 divisors (see below), whose sum is σ = 9665809920. Its totient is φ = 1209661440.

The previous prime is 3685167973. The next prime is 3685168033. The reversal of 3685167984 is 4897615863.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1769824 + ... + 1771904.

It is an arithmetic number, because the mean of its divisors is an integer number (120822624).

Almost surely, 2^3685167984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3685167984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832904960).

3685167984 is an abundant number, since it is smaller than the sum of its proper divisors (5980641936).

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

3685167984 is a wasteful number, since it uses less digits than its factorization.

3685167984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2632 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The square root of 3685167984 is about 60705.5844548094. The cubic root of 3685167984 is about 1544.6109044161.

The spelling of 3685167984 in words is "three billion, six hundred eighty-five million, one hundred sixty-seven thousand, nine hundred eighty-four".