3957360 has 80 divisors (see below), whose sum is σ = 13392000. Its totient is φ = 958720.

The previous prime is 3957341. The next prime is 3957383. The reversal of 3957360 is 637593.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1891 + ... + 3389.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

Almost surely, 2^3957360 is an apocalyptic number.

3957360 is a gapful number since it is divisible by the number (30) 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 3957360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696000).

3957360 is an abundant number, since it is smaller than the sum of its proper divisors (9434640).

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

3957360 is a wasteful number, since it uses less digits than its factorization.

3957360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 3957360 is about 1989.3114386641. The cubic root of 3957360 is about 158.1740324541.

The spelling of 3957360 in words is "three million, nine hundred fifty-seven thousand, three hundred sixty".