3957380 has 48 divisors (see below), whose sum is σ = 9918720. Its totient is φ = 1296768.

The previous prime is 3957341. The next prime is 3957383. The reversal of 3957380 is 837593.

It is a Smith number, since the sum of its digits (35) 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 (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3957380.

It is not an unprimeable number, because it can be changed into a prime (3957383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2606 + ... + 3834.

It is an arithmetic number, because the mean of its divisors is an integer number (206640).

Almost surely, 2^3957380 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 3957380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959360).

3957380 is an abundant number, since it is smaller than the sum of its proper divisors (5961340).

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

3957380 is a wasteful number, since it uses less digits than its factorization.

3957380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 3957380 is about 1989.3164655228. The cubic root of 3957380 is about 158.1742989175.

The spelling of 3957380 in words is "three million, nine hundred fifty-seven thousand, three hundred eighty".