3721973760 has 416 divisors, whose sum is σ = 13587886080. Its totient is φ = 966131712.

The previous prime is 3721973753. The next prime is 3721973779. The reversal of 3721973760 is 673791273.

3721973760 is a `hidden beast` number, since 372 + 197 + 37 + 60 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29306817 + ... + 29306943.

Almost surely, 2^3721973760 is an apocalyptic number.

3721973760 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 3721973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793943040).

3721973760 is an abundant number, since it is smaller than the sum of its proper divisors (9865912320).

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

3721973760 is a wasteful number, since it uses less digits than its factorization.

3721973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 3721973760 is about 61007.9811172276. The cubic root of 3721973760 is about 1549.7361687612.

The spelling of 3721973760 in words is "three billion, seven hundred twenty-one million, nine hundred seventy-three thousand, seven hundred sixty".