3679685627904 has 1872 divisors, whose sum is σ = 13704515435520. Its totient is φ = 942066892800.

The previous prime is 3679685627899. The next prime is 3679685627921. The reversal of 3679685627904 is 4097265869763.

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41344782292 + ... + 41344782380.

It is an arithmetic number, because the mean of its divisors is an integer number (7320788160).

Almost surely, 2^{3679685627904} 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 3679685627904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852257717760).

3679685627904 is an abundant number, since it is smaller than the sum of its proper divisors (10024829807616).

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

3679685627904 is a wasteful number, since it uses less digits than its factorization.

3679685627904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 3679685627904 in words is "three trillion, six hundred seventy-nine billion, six hundred eighty-five million, six hundred twenty-seven thousand, nine hundred four".