3972935406 has 64 divisors (see below), whose sum is σ = 9073575936. Its totient is φ = 1147951200.

The previous prime is 3972935387. The next prime is 3972935437. The reversal of 3972935406 is 6045392793.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498505 + ... + 506411.

It is an arithmetic number, because the mean of its divisors is an integer number (141774624).

Almost surely, 2^3972935406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3972935406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536787968).

3972935406 is an abundant number, since it is smaller than the sum of its proper divisors (5100640530).

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

3972935406 is a wasteful number, since it uses less digits than its factorization.

3972935406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8277.

The product of its (nonzero) digits is 1224720, while the sum is 48.

The square root of 3972935406 is about 63031.2256425337. The cubic root of 3972935406 is about 1583.8127496807.

The spelling of 3972935406 in words is "three billion, nine hundred seventy-two million, nine hundred thirty-five thousand, four hundred six".