3932248320 has 1296 divisors, whose sum is σ = 18999192576. Its totient is φ = 729907200.

The previous prime is 3932248261. The next prime is 3932248339. The reversal of 3932248320 is 238422393.

3932248320 is a `hidden beast` number, since 3 + 9 + 322 + 4 + 8 + 320 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126846705 + ... + 126846735.

Almost surely, 2^3932248320 is an apocalyptic number.

3932248320 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 3932248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499596288).

3932248320 is an abundant number, since it is smaller than the sum of its proper divisors (15066944256).

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

3932248320 is a wasteful number, since it uses less digits than its factorization.

3932248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3932248320 is about 62707.6416395960. The cubic root of 3932248320 is about 1578.3875447492.

It can be divided in two parts, 3932 and 248320, that added together give a palindrome (252252).

The spelling of 3932248320 in words is "three billion, nine hundred thirty-two million, two hundred forty-eight thousand, three hundred twenty".