3613763120 has 80 divisors (see below), whose sum is σ = 9269004960. Its totient is φ = 1299302400.

The previous prime is 3613763113. The next prime is 3613763147. The reversal of 3613763120 is 213673163.

3613763120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55250 + ... + 101390.

It is an arithmetic number, because the mean of its divisors is an integer number (115862562).

Almost surely, 2^3613763120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3613763120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634502480).

3613763120 is an abundant number, since it is smaller than the sum of its proper divisors (5655241840).

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

3613763120 is a wasteful number, since it uses less digits than its factorization.

3613763120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46254 (or 46248 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 3613763120 is about 60114.5832556460. The cubic root of 3613763120 is about 1534.5694938032.

The spelling of 3613763120 in words is "three billion, six hundred thirteen million, seven hundred sixty-three thousand, one hundred twenty".