3731828760 has 576 divisors, whose sum is σ = 14639788800. Its totient is φ = 851938560.

The previous prime is 3731828759. The next prime is 3731828773. The reversal of 3731828760 is 678281373.

3731828760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22346197 + ... + 22346363.

It is an arithmetic number, because the mean of its divisors is an integer number (25416300).

Almost surely, 2^3731828760 is an apocalyptic number.

3731828760 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 3731828760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319894400).

3731828760 is an abundant number, since it is smaller than the sum of its proper divisors (10907960040).

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

3731828760 is a wasteful number, since it uses less digits than its factorization.

3731828760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3731828760 is about 61088.6958446487. The cubic root of 3731828760 is about 1551.1027546228.

The spelling of 3731828760 in words is "three billion, seven hundred thirty-one million, eight hundred twenty-eight thousand, seven hundred sixty".