3947643072 has 168 divisors, whose sum is σ = 12233910000. Its totient is φ = 1212807168.

The previous prime is 3947643059. The next prime is 3947643143. The reversal of 3947643072 is 2703467493.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400054 + ... + 409802.

Almost surely, 2^3947643072 is an apocalyptic number.

3947643072 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 3947643072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116955000).

3947643072 is an abundant number, since it is smaller than the sum of its proper divisors (8286266928).

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

3947643072 is a wasteful number, since it uses less digits than its factorization.

3947643072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9823 (or 9810 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3947643072 is about 62830.2719395675. The cubic root of 3947643072 is about 1580.4446582699. Note that the first 3 decimals are identical.

The spelling of 3947643072 in words is "three billion, nine hundred forty-seven million, six hundred forty-three thousand, seventy-two".