3688597440 has 560 divisors, whose sum is σ = 15175711584. Its totient is φ = 840499200.

The previous prime is 3688597427. The next prime is 3688597447. The reversal of 3688597440 is 447958863.

3688597440 is a `hidden beast` number, since 3 + 6 + 8 + 8 + 597 + 4 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688597447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4846660 + ... + 4847420.

Almost surely, 2^3688597440 is an apocalyptic number.

3688597440 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 3688597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7587855792).

3688597440 is an abundant number, since it is smaller than the sum of its proper divisors (11487114144).

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

3688597440 is a wasteful number, since it uses less digits than its factorization.

3688597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3688597440 is about 60733.8245131986. The cubic root of 3688597440 is about 1545.0898995667.

The spelling of 3688597440 in words is "three billion, six hundred eighty-eight million, five hundred ninety-seven thousand, four hundred forty".