3644447869440 has 2560 divisors, whose sum is σ = 16230561177600. Its totient is φ = 756767784960.

The previous prime is 3644447869399. The next prime is 3644447869451. The reversal of 3644447869440 is 449687444463.

3644447869440 is a `hidden beast` number, since 3 + 64 + 4 + 4 + 4 + 78 + 69 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37571627472 + ... + 37571627568.

It is an arithmetic number, because the mean of its divisors is an integer number (6340062960).

Almost surely, 2^{3644447869440} is an apocalyptic number.

3644447869440 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 3644447869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8115280588800).

3644447869440 is an abundant number, since it is smaller than the sum of its proper divisors (12586113308160).

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

3644447869440 is a wasteful number, since it uses less digits than its factorization.

3644447869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 63.

The spelling of 3644447869440 in words is "three trillion, six hundred forty-four billion, four hundred forty-seven million, eight hundred sixty-nine thousand, four hundred forty".