3693122094816 has 384 divisors, whose sum is σ = 13595351454720. Its totient is φ = 959251092480.

The previous prime is 3693122094799. The next prime is 3693122094853. The reversal of 3693122094816 is 6184902213963.

3693122094816 is a `hidden beast` number, since 36 + 9 + 3 + 122 + 0 + 9 + 481 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5046100 + ... + 5731436.

It is an arithmetic number, because the mean of its divisors is an integer number (35404561080).

Almost surely, 2^{3693122094816} is an apocalyptic number.

3693122094816 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 3693122094816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797675727360).

3693122094816 is an abundant number, since it is smaller than the sum of its proper divisors (9902229359904).

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

3693122094816 is an equidigital number, since it uses as much as digits as its factorization.

3693122094816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685386 (or 685360 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3693122094816 in words is "three trillion, six hundred ninety-three billion, one hundred twenty-two million, ninety-four thousand, eight hundred sixteen".