39957360 has 80 divisors (see below), whose sum is σ = 128161440. Its totient is φ = 10286080.

The previous prime is 39957349. The next prime is 39957367. The reversal of 39957360 is 6375993.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39957367) 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, 4090 + ... + 9830.

It is an arithmetic number, because the mean of its divisors is an integer number (1602018).

Almost surely, 2^39957360 is an apocalyptic number.

39957360 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 39957360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64080720).

39957360 is an abundant number, since it is smaller than the sum of its proper divisors (88204080).

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

39957360 is a wasteful number, since it uses less digits than its factorization.

39957360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5786 (or 5780 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 42.

The square root of 39957360 is about 6321.1834335036. The cubic root of 39957360 is about 341.8736238382.

The spelling of 39957360 in words is "thirty-nine million, nine hundred fifty-seven thousand, three hundred sixty".