3655367418096 has 140 divisors (see below), whose sum is σ = 10621299130848. Its totient is φ = 1218140819712.

The previous prime is 3655367418083. The next prime is 3655367418097. The reversal of 3655367418096 is 6908147635563.

3655367418096 is a `hidden beast` number, since 3 + 6 + 5 + 5 + 367 + 4 + 180 + 96 = 666.

It is a super-2 number, since 2×3655367418096² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3655367418097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 47469001 + ... + 47545943.

Almost surely, 2^{3655367418096} is an apocalyptic number.

3655367418096 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 3655367418096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310649565424).

3655367418096 is an abundant number, since it is smaller than the sum of its proper divisors (6965931712752).

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

3655367418096 is an equidigital number, since it uses as much as digits as its factorization.

3655367418096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81042 (or 81021 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 3655367418096 in words is "three trillion, six hundred fifty-five billion, three hundred sixty-seven million, four hundred eighteen thousand, ninety-six".