3613973760 has 288 divisors, whose sum is σ = 12992972160. Its totient is φ = 962979840.

The previous prime is 3613973749. The next prime is 3613973767. The reversal of 3613973760 is 673793163.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3613973767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2798715 + ... + 2800005.

Almost surely, 2^3613973760 is an apocalyptic number.

3613973760 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 3613973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6496486080).

3613973760 is an abundant number, since it is smaller than the sum of its proper divisors (9378998400).

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

3613973760 is an frugal number, since it uses more digits than its factorization.

3613973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The square root of 3613973760 is about 60116.3352176428. The cubic root of 3613973760 is about 1534.5993090242.

The spelling of 3613973760 in words is "three billion, six hundred thirteen million, nine hundred seventy-three thousand, seven hundred sixty".