3699573468640 has 288 divisors, whose sum is σ = 10414523851200. Its totient is φ = 1241396739072.

The previous prime is 3699573468601. The next prime is 3699573468641. The reversal of 3699573468640 is 468643759963.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 3699573468640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3699573468641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121214662 + ... + 121245178.

It is an arithmetic number, because the mean of its divisors is an integer number (36161541150).

Almost surely, 2^{3699573468640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3699573468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207261925600).

3699573468640 is an abundant number, since it is smaller than the sum of its proper divisors (6714950382560).

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

3699573468640 is an equidigital number, since it uses as much as digits as its factorization.

3699573468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30647 (or 30578 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 70.

The spelling of 3699573468640 in words is "three trillion, six hundred ninety-nine billion, five hundred seventy-three million, four hundred sixty-eight thousand, six hundred forty".