3994710400512 has 800 divisors, whose sum is σ = 13681388397600. Its totient is φ = 1156390649856.

The previous prime is 3994710400501. The next prime is 3994710400517. The reversal of 3994710400512 is 2150040174993.

3994710400512 is a `hidden beast` number, since 3 + 9 + 94 + 7 + 1 + 0 + 40 + 0 + 512 = 666.

It is a super-2 number, since 2×3994710400512² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3994710400517) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1548936439 + ... + 1548939017.

It is an arithmetic number, because the mean of its divisors is an integer number (17101735497).

Almost surely, 2^{3994710400512} is an apocalyptic number.

3994710400512 is a gapful number since it is divisible by the number (32) 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 3994710400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840694198800).

3994710400512 is an abundant number, since it is smaller than the sum of its proper divisors (9686677997088).

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

3994710400512 is an equidigital number, since it uses as much as digits as its factorization.

3994710400512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 3994710400512 in words is "three trillion, nine hundred ninety-four billion, seven hundred ten million, four hundred thousand, five hundred twelve".