3932945280 has 768 divisors, whose sum is σ = 16306617600. Its totient is φ = 903260160.

The previous prime is 3932945279. The next prime is 3932945297. The reversal of 3932945280 is 825492393.

It is a happy number.

3932945280 is a `hidden beast` number, since 3 + 9 + 32 + 94 + 528 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206997111 + ... + 206997129.

It is an arithmetic number, because the mean of its divisors is an integer number (21232575).

Almost surely, 2^3932945280 is an apocalyptic number.

3932945280 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 3932945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8153308800).

3932945280 is an abundant number, since it is smaller than the sum of its proper divisors (12373672320).

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

3932945280 is an equidigital number, since it uses as much as digits as its factorization.

3932945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3932945280 is about 62713.1986108188. The cubic root of 3932945280 is about 1578.4807914881.

The spelling of 3932945280 in words is "three billion, nine hundred thirty-two million, nine hundred forty-five thousand, two hundred eighty".