3901685760 has 612 divisors, whose sum is σ = 16316766648. Its totient is φ = 891813888.

The previous prime is 3901685743. The next prime is 3901685773. The reversal of 3901685760 is 675861093.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 557383677 + ... + 557383683.

Almost surely, 2^3901685760 is an apocalyptic number.

3901685760 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 3901685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158383324).

3901685760 is an abundant number, since it is smaller than the sum of its proper divisors (12415080888).

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

3901685760 is an frugal number, since it uses more digits than its factorization.

3901685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3901685760 is about 62463.4754076332. The cubic root of 3901685760 is about 1574.2876778881.

The spelling of 3901685760 in words is "three billion, nine hundred one million, six hundred eighty-five thousand, seven hundred sixty".