3687251760 has 320 divisors, whose sum is σ = 13034165760. Its totient is φ = 957864960.

The previous prime is 3687251747. The next prime is 3687251791. The reversal of 3687251760 is 671527863.

3687251760 is a `hidden beast` number, since 3 + 6 + 8 + 72 + 517 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23485602 + ... + 23485758.

It is an arithmetic number, because the mean of its divisors is an integer number (40731768).

Almost surely, 2^3687251760 is an apocalyptic number.

3687251760 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 3687251760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517082880).

3687251760 is an abundant number, since it is smaller than the sum of its proper divisors (9346914000).

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

3687251760 is a wasteful number, since it uses less digits than its factorization.

3687251760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3687251760 is about 60722.7449972414. The cubic root of 3687251760 is about 1544.9019826591.

The spelling of 3687251760 in words is "three billion, six hundred eighty-seven million, two hundred fifty-one thousand, seven hundred sixty".