39739680 has 96 divisors (see below), whose sum is σ = 139104000. Its totient is φ = 10596096.

The previous prime is 39739663. The next prime is 39739691. The reversal of 39739680 is 8693793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 280 + ... + 8919.

It is an arithmetic number, because the mean of its divisors is an integer number (1449000).

Almost surely, 2^39739680 is an apocalyptic number.

39739680 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 39739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69552000).

39739680 is an abundant number, since it is smaller than the sum of its proper divisors (99364320).

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

39739680 is a wasteful number, since it uses less digits than its factorization.

39739680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9223 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 39739680 is about 6303.9416240952. The cubic root of 39739680 is about 341.2516724951.

The spelling of 39739680 in words is "thirty-nine million, seven hundred thirty-nine thousand, six hundred eighty".