3644641249920 has 4096 divisors, whose sum is σ = 17132083200000. Its totient is φ = 719396536320.

The previous prime is 3644641249877. The next prime is 3644641250057. The reversal of 3644641249920 is 299421464463.

3644641249920 is a `hidden beast` number, since 3 + 64 + 4 + 64 + 12 + 499 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 40951025236 + ... + 40951025324.

It is an arithmetic number, because the mean of its divisors is an integer number (4182637500).

Almost surely, 2^{3644641249920} is an apocalyptic number.

3644641249920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644641249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8566041600000).

3644641249920 is an abundant number, since it is smaller than the sum of its proper divisors (13487441950080).

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

3644641249920 is a wasteful number, since it uses less digits than its factorization.

3644641249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3644641249920 in words is "three trillion, six hundred forty-four billion, six hundred forty-one million, two hundred forty-nine thousand, nine hundred twenty".