3687425640 has 128 divisors (see below), whose sum is σ = 12460060800. Its totient is φ = 969822720.

The previous prime is 3687425633. The next prime is 3687425653. The reversal of 3687425640 is 465247863.

3687425640 is a `hidden beast` number, since 3 + 6 + 87 + 4 + 2 + 564 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55455 + ... + 102225.

It is an arithmetic number, because the mean of its divisors is an integer number (97344225).

Almost surely, 2^3687425640 is an apocalyptic number.

3687425640 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 3687425640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6230030400).

3687425640 is an abundant number, since it is smaller than the sum of its proper divisors (8772635160).

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

3687425640 is a wasteful number, since it uses less digits than its factorization.

3687425640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46864 (or 46854 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3687425640 is about 60724.1767338183. The cubic root of 3687425640 is about 1544.9262666292.

The spelling of 3687425640 in words is "three billion, six hundred eighty-seven million, four hundred twenty-five thousand, six hundred forty".