3713816880 has 120 divisors (see below), whose sum is σ = 12648074400. Its totient is φ = 976389120.

The previous prime is 3713816863. The next prime is 3713816881. The reversal of 3713816880 is 886183173.

3713816880 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 (120).

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

It is not an unprimeable number, because it can be changed into a prime (3713816881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14796 + ... + 87444.

It is an arithmetic number, because the mean of its divisors is an integer number (105400620).

Almost surely, 2^3713816880 is an apocalyptic number.

3713816880 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 3713816880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324037200).

3713816880 is an abundant number, since it is smaller than the sum of its proper divisors (8934257520).

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

3713816880 is a wasteful number, since it uses less digits than its factorization.

3713816880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72739 (or 72730 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 3713816880 is about 60941.0935248130. The cubic root of 3713816880 is about 1548.6032342402.

The spelling of 3713816880 in words is "three billion, seven hundred thirteen million, eight hundred sixteen thousand, eight hundred eighty".