3973736 has 32 divisors (see below), whose sum is σ = 8450400. Its totient is φ = 1736640.

The previous prime is 3973729. The next prime is 3973741. The reversal of 3973736 is 6373793.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 3973736.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 971 + ... + 2981.

It is an arithmetic number, because the mean of its divisors is an integer number (264075).

Almost surely, 2^3973736 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 3973736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225200).

3973736 is an abundant number, since it is smaller than the sum of its proper divisors (4476664).

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

3973736 is a wasteful number, since it uses less digits than its factorization.

3973736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2045 counting only the distinct ones).

The product of its digits is 71442, while the sum is 38.

The square root of 3973736 is about 1993.4231863807. The cubic root of 3973736 is about 158.3919128273.

The spelling of 3973736 in words is "three million, nine hundred seventy-three thousand, seven hundred thirty-six".