33294538080 has 768 divisors, whose sum is σ = 129885638400. Its totient is φ = 8026324992.

The previous prime is 33294538027. The next prime is 33294538091. The reversal of 33294538080 is 8083549233.

33294538080 is a `hidden beast` number, since 3 + 32 + 9 + 4 + 538 + 0 + 80 = 666.

It is a super-2 number, since 2×33294538080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 172510464 + ... + 172510656.

It is an arithmetic number, because the mean of its divisors is an integer number (169121925).

Almost surely, 2^33294538080 is an apocalyptic number.

33294538080 is a gapful number since it is divisible by the number (30) 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 33294538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64942819200).

33294538080 is an abundant number, since it is smaller than the sum of its proper divisors (96591100320).

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

33294538080 is a wasteful number, since it uses less digits than its factorization.

33294538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 33294538080 in words is "thirty-three billion, two hundred ninety-four million, five hundred thirty-eight thousand, eighty".