3970206576 has 300 divisors, whose sum is σ = 13521154680. Its totient is φ = 1121299200.

The previous prime is 3970206553. The next prime is 3970206593. The reversal of 3970206576 is 6756020793.

3970206576 is a `hidden beast` number, since 3 + 9 + 70 + 2 + 0 + 6 + 576 = 666.

It is a super-2 number, since 2×3970206576² = 31525080512227287552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6413595 + ... + 6414213.

Almost surely, 2^3970206576 is an apocalyptic number.

3970206576 is a gapful number since it is divisible by the number (36) 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 3970206576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6760577340).

3970206576 is an abundant number, since it is smaller than the sum of its proper divisors (9550948104).

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

3970206576 is a wasteful number, since it uses less digits than its factorization.

3970206576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3970206576 is about 63009.5752723346. The cubic root of 3970206576 is about 1583.4500501315.

The spelling of 3970206576 in words is "three billion, nine hundred seventy million, two hundred six thousand, five hundred seventy-six".