3688094916 has 120 divisors (see below), whose sum is σ = 10539498816. Its totient is φ = 1115311680.

The previous prime is 3688094911. The next prime is 3688094947. The reversal of 3688094916 is 6194908863.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3688094911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2697265 + ... + 2698631.

Almost surely, 2^3688094916 is an apocalyptic number.

3688094916 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 3688094916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269749408).

3688094916 is an abundant number, since it is smaller than the sum of its proper divisors (6851403900).

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

3688094916 is a wasteful number, since it uses less digits than its factorization.

3688094916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3688094916 is about 60729.6872707245. The cubic root of 3688094916 is about 1545.0197301656.

The spelling of 3688094916 in words is "three billion, six hundred eighty-eight million, ninety-four thousand, nine hundred sixteen".