3331890178848 has 1152 divisors, whose sum is σ = 12872950272000. Its totient is φ = 807974092800.

The previous prime is 3331890178831. The next prime is 3331890178907. The reversal of 3331890178848 is 8488710981333.

3331890178848 is a `hidden beast` number, since 3 + 331 + 8 + 90 + 178 + 8 + 48 = 666.

It is a super-2 number, since 2×3331890178848² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1465854640 + ... + 1465856912.

It is an arithmetic number, because the mean of its divisors is an integer number (11174436000).

Almost surely, 2^{3331890178848} is an apocalyptic number.

3331890178848 is a gapful number since it is divisible by the number (38) 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 3331890178848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436475136000).

3331890178848 is an abundant number, since it is smaller than the sum of its proper divisors (9541060093152).

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

3331890178848 is a wasteful number, since it uses less digits than its factorization.

3331890178848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 3331890178848 in words is "three trillion, three hundred thirty-one billion, eight hundred ninety million, one hundred seventy-eight thousand, eight hundred forty-eight".