3686732640 has 432 divisors, whose sum is σ = 13752713520. Its totient is φ = 896624640.

The previous prime is 3686732633. The next prime is 3686732747. The reversal of 3686732640 is 462376863.

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 71 ways as a sum of consecutive naturals, for example, 60438210 + ... + 60438270.

It is an arithmetic number, because the mean of its divisors is an integer number (31834985).

Almost surely, 2^3686732640 is an apocalyptic number.

3686732640 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 3686732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876356760).

3686732640 is an abundant number, since it is smaller than the sum of its proper divisors (10065980880).

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

3686732640 is a wasteful number, since it uses less digits than its factorization.

3686732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3686732640 is about 60718.4703364635. The cubic root of 3686732640 is about 1544.8294781482.

The spelling of 3686732640 in words is "three billion, six hundred eighty-six million, seven hundred thirty-two thousand, six hundred forty".