3640367676000 has 192 divisors, whose sum is σ = 13010012660736. Its totient is φ = 882513344000.

The previous prime is 3640367675993. The next prime is 3640367676013. The reversal of 3640367676000 is 6767630463.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13657272 + ... + 13921271.

It is an arithmetic number, because the mean of its divisors is an integer number (67760482608).

Almost surely, 2^{3640367676000} is an apocalyptic number.

3640367676000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3640367676000 is an abundant number, since it is smaller than the sum of its proper divisors (9369644984736).

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

3640367676000 is a wasteful number, since it uses less digits than its factorization.

3640367676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27578582 (or 27578564 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 48.

The spelling of 3640367676000 in words is "three trillion, six hundred forty billion, three hundred sixty-seven million, six hundred seventy-six thousand".