3664632601344 has 216 divisors, whose sum is σ = 11521346219712. Its totient is φ = 1025071656960.

The previous prime is 3664632601327. The next prime is 3664632601361. The reversal of 3664632601344 is 4431062364663.

It is an interprime number because it is at equal distance from previous prime (3664632601327) and next prime (3664632601361).

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

It is a junction number, because it is equal to n+sod(n) for n = 3664632601293 and 3664632601302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144319 + ... + 2711105.

It is an arithmetic number, because the mean of its divisors is an integer number (53339565832).

Almost surely, 2^{3664632601344} 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 3664632601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760673109856).

3664632601344 is an abundant number, since it is smaller than the sum of its proper divisors (7856713618368).

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

3664632601344 is a wasteful number, since it uses less digits than its factorization.

3664632601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566843 (or 2566816 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 48.

The spelling of 3664632601344 in words is "three trillion, six hundred sixty-four billion, six hundred thirty-two million, six hundred one thousand, three hundred forty-four".