3999088364544 has 3168 divisors, whose sum is σ = 17027927904960. Its totient is φ = 915001049088.

The previous prime is 3999088364503. The next prime is 3999088364549. The reversal of 3999088364544 is 4454638809993.

3999088364544 is a `hidden beast` number, since 3 + 9 + 9 + 90 + 8 + 83 + 6 + 454 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3999088364549) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 108083469294 + ... + 108083469330.

Almost surely, 2^{3999088364544} is an apocalyptic number.

3999088364544 is a gapful number since it is divisible by the number (34) 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 3999088364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8513963952480).

3999088364544 is an abundant number, since it is smaller than the sum of its proper divisors (13028839540416).

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

3999088364544 is a wasteful number, since it uses less digits than its factorization.

3999088364544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 3999088364544 in words is "three trillion, nine hundred ninety-nine billion, eighty-eight million, three hundred sixty-four thousand, five hundred forty-four".