3667874761824 has 576 divisors, whose sum is σ = 13106182440960. Its totient is φ = 886867107840.

The previous prime is 3667874761783. The next prime is 3667874761867. The reversal of 3667874761824 is 4281674787663.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35967612 + ... + 36069444.

It is an arithmetic number, because the mean of its divisors is an integer number (22753788960).

Almost surely, 2^{3667874761824} 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 3667874761824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553091220480).

3667874761824 is an abundant number, since it is smaller than the sum of its proper divisors (9438307679136).

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

3667874761824 is a wasteful number, since it uses less digits than its factorization.

3667874761824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101923 (or 101908 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 69.

The spelling of 3667874761824 in words is "three trillion, six hundred sixty-seven billion, eight hundred seventy-four million, seven hundred sixty-one thousand, eight hundred twenty-four".