3318941892000 has 864 divisors, whose sum is σ = 13436466878016. Its totient is φ = 713954304000.

The previous prime is 3318941891999. The next prime is 3318941892083. The reversal of 3318941892000 is 2981498133.

It is a super-2 number, since 2×3318941892000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 169922235 + ... + 169941765.

It is an arithmetic number, because the mean of its divisors is an integer number (15551466294).

Almost surely, 2^{3318941892000} is an apocalyptic number.

3318941892000 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 3318941892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718233439008).

3318941892000 is an abundant number, since it is smaller than the sum of its proper divisors (10117524986016).

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

3318941892000 is a wasteful number, since it uses less digits than its factorization.

3318941892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19607 (or 19565 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 3318941892000 in words is "three trillion, three hundred eighteen billion, nine hundred forty-one million, eight hundred ninety-two thousand".