3721404960 has 432 divisors, whose sum is σ = 15912927576. Its totient is φ = 784982016.

The previous prime is 3721404959. The next prime is 3721404977. The reversal of 3721404960 is 694041273.

It can be written as a sum of positive squares in 4 ways, for example, as 2349147024 + 1372257936 = 48468^2 + 37044^2 .

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 71 ways as a sum of consecutive naturals, for example, 915252 + ... + 919308.

Almost surely, 2^3721404960 is an apocalyptic number.

3721404960 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 3721404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956463788).

3721404960 is an abundant number, since it is smaller than the sum of its proper divisors (12191522616).

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

3721404960 is a wasteful number, since it uses less digits than its factorization.

3721404960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3721404960 is about 61003.3192539554. The cubic root of 3721404960 is about 1549.6572200727.

The spelling of 3721404960 in words is "three billion, seven hundred twenty-one million, four hundred four thousand, nine hundred sixty".