3686687400 has 384 divisors, whose sum is σ = 13244866560. Its totient is φ = 839808000.

The previous prime is 3686687383. The next prime is 3686687413. The reversal of 3686687400 is 47866863.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3686687400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7569957 + ... + 7570443.

It is an arithmetic number, because the mean of its divisors is an integer number (34491840).

Almost surely, 2^3686687400 is an apocalyptic number.

3686687400 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 3686687400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622433280).

3686687400 is an abundant number, since it is smaller than the sum of its proper divisors (9558179160).

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

3686687400 is a wasteful number, since it uses less digits than its factorization.

3686687400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 3686687400 is about 60718.0977962913. The cubic root of 3686687400 is about 1544.8231592403.

The spelling of 3686687400 in words is "three billion, six hundred eighty-six million, six hundred eighty-seven thousand, four hundred".