3695540021600 has 288 divisors, whose sum is σ = 11105631694080. Its totient is φ = 1172439152640.

The previous prime is 3695540021587. The next prime is 3695540021603. The reversal of 3695540021600 is 61200455963.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3695540021603) 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, 4171334 + ... + 4979066.

It is an arithmetic number, because the mean of its divisors is an integer number (38561221160).

Almost surely, 2^{3695540021600} 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 3695540021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552815847040).

3695540021600 is an abundant number, since it is smaller than the sum of its proper divisors (7410091672480).

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

3695540021600 is a wasteful number, since it uses less digits than its factorization.

3695540021600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807822 (or 807809 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 3695540021600 in words is "three trillion, six hundred ninety-five billion, five hundred forty million, twenty-one thousand, six hundred".