3690218198016 has 528 divisors, whose sum is σ = 12278596412160. Its totient is φ = 1045651783680.

The previous prime is 3690218197973. The next prime is 3690218198021. The reversal of 3690218198016 is 6108918120963.

3690218198016 is a `hidden beast` number, since 369 + 0 + 2 + 181 + 98 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5848206021 + ... + 5848206651.

Almost surely, 2^{3690218198016} is an apocalyptic number.

3690218198016 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 3690218198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139298206080).

3690218198016 is an abundant number, since it is smaller than the sum of its proper divisors (8588378214144).

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

3690218198016 is a wasteful number, since it uses less digits than its factorization.

3690218198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 3690218198016 in words is "three trillion, six hundred ninety billion, two hundred eighteen million, one hundred ninety-eight thousand, sixteen".