3665600040000 has 280 divisors, whose sum is σ = 12162570206688. Its totient is φ = 974005760000.

The previous prime is 3665600039999. The next prime is 3665600040001. The reversal of 3665600040000 is 400065663.

It is an interprime number because it is at equal distance from previous prime (3665600039999) and next prime (3665600040001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3665600040000.

It is not an unprimeable number, because it can be changed into a prime (3665600040001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33665647 + ... + 33774353.

Almost surely, 2^{3665600040000} is an apocalyptic number.

3665600040000 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 3665600040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081285103344).

3665600040000 is an abundant number, since it is smaller than the sum of its proper divisors (8496970166688).

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

3665600040000 is a wasteful number, since it uses less digits than its factorization.

3665600040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109023 (or 108998 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 3665600040000 in words is "three trillion, six hundred sixty-five billion, six hundred million, forty thousand".