33394426607376 has 400 divisors, whose sum is σ = 104966585927280. Its totient is φ = 10208296304640.

The previous prime is 33394426607371. The next prime is 33394426607389. The reversal of 33394426607376 is 67370662449333.

33394426607376 is a `hidden beast` number, since 3 + 33 + 94 + 426 + 60 + 7 + 37 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2486019600 + 33391940587776 = 49860^2 + 5778576^2 .

It is a super-2 number, since 2×33394426607376² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33394426607371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 730756560 + ... + 730802256.

Almost surely, 2^{33394426607376} is an apocalyptic number.

33394426607376 is a gapful number since it is divisible by the number (36) 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 33394426607376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52483292963640).

33394426607376 is an abundant number, since it is smaller than the sum of its proper divisors (71572159319904).

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

33394426607376 is a wasteful number, since it uses less digits than its factorization.

33394426607376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46584 (or 46569 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 63.

The spelling of 33394426607376 in words is "thirty-three trillion, three hundred ninety-four billion, four hundred twenty-six million, six hundred seven thousand, three hundred seventy-six".