3992993432064 has 2560 divisors, whose sum is σ = 16789325414400. Its totient is φ = 905828106240.

The previous prime is 3992993432053. The next prime is 3992993432147. The reversal of 3992993432064 is 4602343992993.

3992993432064 is a `hidden beast` number, since 3 + 99 + 29 + 93 + 432 + 0 + 6 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3992993431992 and 3992993432010.

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, 12596193634 + ... + 12596193950.

It is an arithmetic number, because the mean of its divisors is an integer number (6558330240).

Almost surely, 2^{3992993432064} is an apocalyptic number.

3992993432064 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 3992993432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8394662707200).

3992993432064 is an abundant number, since it is smaller than the sum of its proper divisors (12796331982336).

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

3992993432064 is a wasteful number, since it uses less digits than its factorization.

3992993432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 63.

The spelling of 3992993432064 in words is "three trillion, nine hundred ninety-two billion, nine hundred ninety-three million, four hundred thirty-two thousand, sixty-four".