3200376960 has 512 divisors, whose sum is σ = 12558240000. Its totient is φ = 763822080.

The previous prime is 3200376947. The next prime is 3200376961. The reversal of 3200376960 is 696730023.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200376961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21478966 + ... + 21479114.

Almost surely, 2^3200376960 is an apocalyptic number.

3200376960 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 3200376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279120000).

3200376960 is an abundant number, since it is smaller than the sum of its proper divisors (9357863040).

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

3200376960 is a wasteful number, since it uses less digits than its factorization.

3200376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3200376960 is about 56571.8742839585. The cubic root of 3200376960 is about 1473.6704610389.

The spelling of 3200376960 in words is "three billion, two hundred million, three hundred seventy-six thousand, nine hundred sixty".