3654008110116 has 567 divisors, whose sum is σ = 12107687921091. Its totient is φ = 961217083008.

The previous prime is 3654008110069. The next prime is 3654008110121. The reversal of 3654008110116 is 6110118004563.

It is a happy number.

The square root of 3654008110116 is 1911546.

It is a perfect power (a square), and thus also a powerful number.

3654008110116 is a `hidden beast` number, since 3 + 6 + 540 + 0 + 8 + 1 + 101 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1404296100900 + 2249712009216 = 1185030^2 + 1499904^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 9393336850 + ... + 9393337238.

Almost surely, 2^{3654008110116} is an apocalyptic number.

3654008110116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3654008110116 is the 1911546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3654008110116

3654008110116 is an abundant number, since it is smaller than the sum of its proper divisors (8453679810975).

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

3654008110116 is an equidigital number, since it uses as much as digits as its factorization.

3654008110116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 3654008110116 by its sum of digits (36), we get a square (131544291964176 = 11469276²).

3654008110116 divided by its sum of digits (36) gives a square (101500225281 = 318591²).

The spelling of 3654008110116 in words is "three trillion, six hundred fifty-four billion, eight million, one hundred ten thousand, one hundred sixteen".