3688993476 has 96 divisors (see below), whose sum is σ = 10943412480. Its totient is φ = 1052739072.

The previous prime is 3688993453. The next prime is 3688993501. The reversal of 3688993476 is 6743998863.

3688993476 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 763420 + ... + 768236.

It is an arithmetic number, because the mean of its divisors is an integer number (113993880).

Almost surely, 2^3688993476 is an apocalyptic number.

3688993476 is a gapful number since it is divisible by the number (36) 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 3688993476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471706240).

3688993476 is an abundant number, since it is smaller than the sum of its proper divisors (7254419004).

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

3688993476 is a wasteful number, since it uses less digits than its factorization.

3688993476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5850 (or 5842 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The square root of 3688993476 is about 60737.0848493735. The cubic root of 3688993476 is about 1545.1451951395.

The spelling of 3688993476 in words is "three billion, six hundred eighty-eight million, nine hundred ninety-three thousand, four hundred seventy-six".