3973464 has 96 divisors (see below), whose sum is σ = 12214800. Its totient is φ = 1155840.

The previous prime is 3973447. The next prime is 3973469. The reversal of 3973464 is 4643793.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22882 + ... + 23054.

Almost surely, 2^3973464 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 3973464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107400).

3973464 is an abundant number, since it is smaller than the sum of its proper divisors (8241336).

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

3973464 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (3973463) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (218).

3973464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3973464 is about 1993.3549608637. The cubic root of 3973464 is about 158.3882987989.

The spelling of 3973464 in words is "three million, nine hundred seventy-three thousand, four hundred sixty-four".