33340876128 has 192 divisors, whose sum is σ = 111231267840. Its totient is φ = 9517824000.

The previous prime is 33340876103. The next prime is 33340876193. The reversal of 33340876128 is 82167804333.

It is a super-2 number, since 2×33340876128² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13068453 + ... + 13071003.

It is an arithmetic number, because the mean of its divisors is an integer number (579329520).

Almost surely, 2^33340876128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33340876128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55615633920).

33340876128 is an abundant number, since it is smaller than the sum of its proper divisors (77890391712).

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

33340876128 is a wasteful number, since it uses less digits than its factorization.

33340876128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 33340876128 in words is "thirty-three billion, three hundred forty million, eight hundred seventy-six thousand, one hundred twenty-eight".