3957440 has 56 divisors (see below), whose sum is σ = 9601200. Its totient is φ = 1553408.

The previous prime is 3957439. The next prime is 3957451. The reversal of 3957440 is 447593.

It is a super-2 number, since 2×3957440² = 31322662707200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3957397 and 3957406.

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, 26486 + ... + 26634.

It is an arithmetic number, because the mean of its divisors is an integer number (171450).

Almost surely, 2^3957440 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 3957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800600).

3957440 is an abundant number, since it is smaller than the sum of its proper divisors (5643760).

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

3957440 is a wasteful number, since it uses less digits than its factorization.

3957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 3957440 is about 1989.3315460224. The cubic root of 3957440 is about 158.1750983025.

The spelling of 3957440 in words is "three million, nine hundred fifty-seven thousand, four hundred forty".