3657645384876 has 192 divisors, whose sum is σ = 11326617845760. Its totient is φ = 998017796160.

The previous prime is 3657645384871. The next prime is 3657645384917. The reversal of 3657645384876 is 6784835467563.

3657645384876 is a `hidden beast` number, since 3 + 6 + 5 + 7 + 6 + 4 + 538 + 4 + 87 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3657645384871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10805145 + ... + 11138511.

It is an arithmetic number, because the mean of its divisors is an integer number (58992801280).

Almost surely, 2^{3657645384876} is an apocalyptic number.

3657645384876 is a gapful number since it is divisible by the number (36) 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 3657645384876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663308922880).

3657645384876 is an abundant number, since it is smaller than the sum of its proper divisors (7668972460884).

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

3657645384876 is a wasteful number, since it uses less digits than its factorization.

3657645384876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334041 (or 334033 counting only the distinct ones).

The product of its digits is 2438553600, while the sum is 72.

The spelling of 3657645384876 in words is "three trillion, six hundred fifty-seven billion, six hundred forty-five million, three hundred eighty-four thousand, eight hundred seventy-six".