3518667000000 has 980 divisors, whose sum is σ = 13648455766280. Its totient is φ = 888926400000.

The previous prime is 3518666999957. The next prime is 3518667000001. The reversal of 3518667000000 is 7668153.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 3518667000000 = 1900³ + 15200³ = 8550³ + 14250³.

It is not an unprimeable number, because it can be changed into a prime (3518667000001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 185192999991 + ... + 185193000009.

Almost surely, 2^{3518667000000} is an apocalyptic number.

3518667000000 is a gapful number since it is divisible by the number (30) 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 3518667000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824227883140).

3518667000000 is an abundant number, since it is smaller than the sum of its proper divisors (10129788766280).

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

3518667000000 is an frugal number, since it uses more digits than its factorization.

3518667000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 3518667000000 in words is "three trillion, five hundred eighteen billion, six hundred sixty-seven million", and thus it is an aban number.