3988454722560 has 4224 divisors, whose sum is σ = 19776716144640. Its totient is φ = 745301606400.

The previous prime is 3988454722541. The next prime is 3988454722583. The reversal of 3988454722560 is 652274548893.

3988454722560 is a `hidden beast` number, since 3 + 9 + 8 + 8 + 4 + 5 + 47 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×3988454722560² (a number of 26 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 50486768601 + ... + 50486768679.

Almost surely, 2^{3988454722560} is an apocalyptic number.

3988454722560 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 3988454722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9888358072320).

3988454722560 is an abundant number, since it is smaller than the sum of its proper divisors (15788261422080).

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

3988454722560 is a wasteful number, since it uses less digits than its factorization.

3988454722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 3988454722560 in words is "three trillion, nine hundred eighty-eight billion, four hundred fifty-four million, seven hundred twenty-two thousand, five hundred sixty".