3993117284520 has 768 divisors, whose sum is σ = 16694231500800. Its totient is φ = 841510010880.

The previous prime is 3993117284503. The next prime is 3993117284531. The reversal of 3993117284520 is 254827113993.

3993117284520 is a `hidden beast` number, since 3 + 9 + 9 + 31 + 1 + 7 + 2 + 84 + 520 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 681765432 + ... + 681771288.

It is an arithmetic number, because the mean of its divisors is an integer number (21737280600).

Almost surely, 2^{3993117284520} is an apocalyptic number.

3993117284520 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 3993117284520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347115750400).

3993117284520 is an abundant number, since it is smaller than the sum of its proper divisors (12701114216280).

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

3993117284520 is a wasteful number, since it uses less digits than its factorization.

3993117284520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6895 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3993117284520 in words is "three trillion, nine hundred ninety-three billion, one hundred seventeen million, two hundred eighty-four thousand, five hundred twenty".