33034428492352 has 336 divisors, whose sum is σ = 78306957066240. Its totient is φ = 13783099180032.

The previous prime is 33034428492313. The next prime is 33034428492361. The reversal of 33034428492352 is 25329482443033.

It is a self number, because there is not a number n which added to its sum of digits gives 33034428492352.

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, 5254399353 + ... + 5254405639.

It is an arithmetic number, because the mean of its divisors is an integer number (233056419840).

Almost surely, 2^{33034428492352} is an apocalyptic number.

33034428492352 is a gapful number since it is divisible by the number (32) 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 33034428492352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39153478533120).

33034428492352 is an abundant number, since it is smaller than the sum of its proper divisors (45272528573888).

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

33034428492352 is a wasteful number, since it uses less digits than its factorization.

33034428492352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6686 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 52.

The spelling of 33034428492352 in words is "thirty-three trillion, thirty-four billion, four hundred twenty-eight million, four hundred ninety-two thousand, three hundred fifty-two".