3618801406080 has 288 divisors, whose sum is σ = 14536366348140. Its totient is φ = 827154542592.

The previous prime is 3618801406079. The next prime is 3618801406109. The reversal of 3618801406080 is 806041088163.

It is a happy number.

3618801406080 is a `hidden beast` number, since 36 + 1 + 8 + 8 + 0 + 1 + 4 + 0 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3459332165184 + 159469240896 = 1859928^2 + 399336^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6128619 + ... + 6693098.

Almost surely, 2^{3618801406080} is an apocalyptic number.

3618801406080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3618801406080 is an abundant number, since it is smaller than the sum of its proper divisors (10917564942060).

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

3618801406080 is a wasteful number, since it uses less digits than its factorization.

3618801406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821756 (or 12821734 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 3618801406080 in words is "three trillion, six hundred eighteen billion, eight hundred one million, four hundred six thousand, eighty".