3970731072 has 672 divisors, whose sum is σ = 14735592576. Its totient is φ = 928972800.

The previous prime is 3970731067. The next prime is 3970731151. The reversal of 3970731072 is 2701370793.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3970731072² = 31533410492292538368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3970731072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65093922 + ... + 65093982.

Almost surely, 2^3970731072 is an apocalyptic number.

3970731072 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 3970731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7367796288).

3970731072 is an abundant number, since it is smaller than the sum of its proper divisors (10764861504).

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

3970731072 is a wasteful number, since it uses less digits than its factorization.

3970731072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 39.

The square root of 3970731072 is about 63013.7371689698. The cubic root of 3970731072 is about 1583.5197758609.

The spelling of 3970731072 in words is "three billion, nine hundred seventy million, seven hundred thirty-one thousand, seventy-two".