3997028160000 has 800 divisors, whose sum is σ = 15037122830400. Its totient is φ = 1047674880000.

The previous prime is 3997028159981. The next prime is 3997028160031. The reversal of 3997028160000 is 618207993.

3997028160000 is a `hidden beast` number, since 39 + 9 + 7 + 0 + 2 + 8 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×3997028160000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 509756080 + ... + 509763920.

It is an arithmetic number, because the mean of its divisors is an integer number (18796403538).

Almost surely, 2^{3997028160000} is an apocalyptic number.

3997028160000 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 3997028160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7518561415200).

3997028160000 is an abundant number, since it is smaller than the sum of its proper divisors (11040094670400).

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

3997028160000 is an frugal number, since it uses more digits than its factorization.

3997028160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7947 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 3997028160000 in words is "three trillion, nine hundred ninety-seven billion, twenty-eight million, one hundred sixty thousand".