39745920 has 128 divisors (see below), whose sum is σ = 128471040. Its totient is φ = 10450944.

The previous prime is 39745913. The next prime is 39746009. The reversal of 39745920 is 2954793.

It is a tau number, because it is divible by the number of its divisors (128).

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, 243759 + ... + 243921.

It is an arithmetic number, because the mean of its divisors is an integer number (1003680).

Almost surely, 2^39745920 is an apocalyptic number.

39745920 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 39745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64235520).

39745920 is an abundant number, since it is smaller than the sum of its proper divisors (88725120).

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

39745920 is a wasteful number, since it uses less digits than its factorization.

39745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 39745920 is about 6304.4365331090. The cubic root of 39745920 is about 341.2695328888.

The spelling of 39745920 in words is "thirty-nine million, seven hundred forty-five thousand, nine hundred twenty".