39248640 has 108 divisors (see below), whose sum is σ = 135836064. Its totient is φ = 10463232.

The previous prime is 39248633. The next prime is 39248641. The reversal of 39248640 is 4684293.

It is a happy number.

39248640 is a `hidden beast` number, since 3 + 9 + 2 + 4 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39248595 and 39248604.

It is not an unprimeable number, because it can be changed into a prime (39248641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9817 + ... + 13223.

Almost surely, 2^39248640 is an apocalyptic number.

39248640 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 39248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67918032).

39248640 is an abundant number, since it is smaller than the sum of its proper divisors (96587424).

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

39248640 is a wasteful number, since it uses less digits than its factorization.

39248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 39248640 is about 6264.8735023143. The cubic root of 39248640 is about 339.8402940830.

The spelling of 39248640 in words is "thirty-nine million, two hundred forty-eight thousand, six hundred forty".