3705332880 has 120 divisors (see below), whose sum is σ = 12123188352. Its totient is φ = 936062208.

The previous prime is 3705332879. The next prime is 3705332887. The reversal of 3705332880 is 882335073.

3705332880 is digitally balanced in base 2 and base 4, because in such bases 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 not an unprimeable number, because it can be changed into a prime (3705332887) 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, 65257 + ... + 108023.

Almost surely, 2^3705332880 is an apocalyptic number.

3705332880 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 3705332880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061594176).

3705332880 is an abundant number, since it is smaller than the sum of its proper divisors (8417855472).

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

3705332880 is a wasteful number, since it uses less digits than its factorization.

3705332880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42821 (or 42796 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3705332880 is about 60871.4455225108. The cubic root of 3705332880 is about 1547.4231036108.

The spelling of 3705332880 in words is "three billion, seven hundred five million, three hundred thirty-two thousand, eight hundred eighty".