3998629696320 has 2016 divisors, whose sum is σ = 17353029657600. Its totient is φ = 872862842880.

The previous prime is 3998629696211. The next prime is 3998629696343. The reversal of 3998629696320 is 236969268993.

3998629696320 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 6 + 296 + 9 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11457391506 + ... + 11457391854.

It is an arithmetic number, because the mean of its divisors is an integer number (8607653600).

Almost surely, 2^{3998629696320} is an apocalyptic number.

3998629696320 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 3998629696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8676514828800).

3998629696320 is an abundant number, since it is smaller than the sum of its proper divisors (13354399961280).

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

3998629696320 is a wasteful number, since it uses less digits than its factorization.

3998629696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 408146688, while the sum is 72.

The spelling of 3998629696320 in words is "three trillion, nine hundred ninety-eight billion, six hundred twenty-nine million, six hundred ninety-six thousand, three hundred twenty".