33890518368 has 720 divisors, whose sum is σ = 126163986480. Its totient is φ = 8819435520.

The previous prime is 33890518309. The next prime is 33890518391. The reversal of 33890518368 is 86381509833.

It is a happy number.

33890518368 is a `hidden beast` number, since 3 + 3 + 8 + 90 + 518 + 36 + 8 = 666.

It is a super-2 number, since 2×33890518368² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1093242513 + ... + 1093242543.

It is an arithmetic number, because the mean of its divisors is an integer number (175227759).

Almost surely, 2^33890518368 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 33890518368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63081993240).

33890518368 is an abundant number, since it is smaller than the sum of its proper divisors (92273468112).

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

33890518368 is an equidigital number, since it uses as much as digits as its factorization.

33890518368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 33890518368 in words is "thirty-three billion, eight hundred ninety million, five hundred eighteen thousand, three hundred sixty-eight".