3957804 has 72 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1193472.

The previous prime is 3957799. The next prime is 3957829. The reversal of 3957804 is 4087593.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17637 + ... + 17859.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 2^3957804 is an apocalyptic number.

3957804 is a gapful number since it is divisible by the number (34) 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 3957804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3957804 is an abundant number, since it is smaller than the sum of its proper divisors (7049556).

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

3957804 is a wasteful number, since it uses less digits than its factorization.

3957804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3957804 is about 1989.4230319366. The cubic root of 3957804 is about 158.1799477313.

It can be divided in two parts, 3957 and 804, that added together give a square (4761 = 69²).

The spelling of 3957804 in words is "three million, nine hundred fifty-seven thousand, eight hundred four".