3802541760 has 336 divisors, whose sum is σ = 13757452800. Its totient is φ = 999558144.

The previous prime is 3802541753. The next prime is 3802541773. The reversal of 3802541760 is 671452083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6142731 + ... + 6143349.

It is an arithmetic number, because the mean of its divisors is an integer number (40944800).

Almost surely, 2^3802541760 is an apocalyptic number.

3802541760 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 3802541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878726400).

3802541760 is an abundant number, since it is smaller than the sum of its proper divisors (9954911040).

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

3802541760 is an equidigital number, since it uses as much as digits as its factorization.

3802541760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3802541760 is about 61664.7529793155. The cubic root of 3802541760 is about 1560.8386023699.

The spelling of 3802541760 in words is "three billion, eight hundred two million, five hundred forty-one thousand, seven hundred sixty".