3723312960 has 448 divisors, whose sum is σ = 14223187200. Its totient is φ = 913711104.

The previous prime is 3723312959. The next prime is 3723312977. The reversal of 3723312960 is 692133273.

3723312960 is a `hidden beast` number, since 37 + 2 + 331 + 296 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6073614 + ... + 6074226.

Almost surely, 2^3723312960 is an apocalyptic number.

3723312960 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 3723312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111593600).

3723312960 is an abundant number, since it is smaller than the sum of its proper divisors (10499874240).

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

3723312960 is a wasteful number, since it uses less digits than its factorization.

3723312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 679 counting only the distinct ones).

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

The square root of 3723312960 is about 61018.9557432770. The cubic root of 3723312960 is about 1549.9220161945.

The spelling of 3723312960 in words is "three billion, seven hundred twenty-three million, three hundred twelve thousand, nine hundred sixty".