3972696 has 128 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 976896.

The previous prime is 3972671. The next prime is 3972697. The reversal of 3972696 is 6962793.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37075 + ... + 37181.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

Almost surely, 2^3972696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3972696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

3972696 is an abundant number, since it is smaller than the sum of its proper divisors (9090984).

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

3972696 is a wasteful number, since it uses less digits than its factorization.

3972696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The square root of 3972696 is about 1993.1623115040. The cubic root of 3972696 is about 158.3780935933.

The spelling of 3972696 in words is "three million, nine hundred seventy-two thousand, six hundred ninety-six".