3727695360 has 320 divisors, whose sum is σ = 12390903360. Its totient is φ = 955514880.

The previous prime is 3727695317. The next prime is 3727695371. The reversal of 3727695360 is 635967273.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34198986 + ... + 34199094.

It is an arithmetic number, because the mean of its divisors is an integer number (38721573).

Almost surely, 2^3727695360 is an apocalyptic number.

3727695360 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 3727695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195451680).

3727695360 is an abundant number, since it is smaller than the sum of its proper divisors (8663208000).

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

3727695360 is a wasteful number, since it uses less digits than its factorization.

3727695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 48.

The square root of 3727695360 is about 61054.8553351820. The cubic root of 3727695360 is about 1550.5298722575.

The spelling of 3727695360 in words is "three billion, seven hundred twenty-seven million, six hundred ninety-five thousand, three hundred sixty".