3688894440 has 384 divisors, whose sum is σ = 15606691200. Its totient is φ = 766402560.

The previous prime is 3688894421. The next prime is 3688894477. The reversal of 3688894440 is 444988863.

3688894440 is a `hidden beast` number, since 36 + 8 + 88 + 94 + 440 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 578952 + ... + 585288.

It is an arithmetic number, because the mean of its divisors is an integer number (40642425).

Almost surely, 2^3688894440 is an apocalyptic number.

3688894440 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 3688894440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7803345600).

3688894440 is an abundant number, since it is smaller than the sum of its proper divisors (11917796760).

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

3688894440 is a wasteful number, since it uses less digits than its factorization.

3688894440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6365 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 3688894440 is about 60736.2695594650. The cubic root of 3688894440 is about 1545.1313678476.

It can be divided in two parts, 36888 and 94440, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 3688894440 in words is "three billion, six hundred eighty-eight million, eight hundred ninety-four thousand, four hundred forty".