33400080 has 240 divisors, whose sum is σ = 134336640. Its totient is φ = 7471872.

The previous prime is 33400067. The next prime is 33400091. The reversal of 33400080 is 8000433.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33400080² = 2231130688012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 710617 + ... + 710663.

It is an arithmetic number, because the mean of its divisors is an integer number (559736).

Almost surely, 2^33400080 is an apocalyptic number.

33400080 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 33400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67168320).

33400080 is an abundant number, since it is smaller than the sum of its proper divisors (100936560).

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

33400080 is a wasteful number, since it uses less digits than its factorization.

33400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33400080 is about 5779.2802320012. The cubic root of 33400080 is about 322.0444623093.

The spelling of 33400080 in words is "thirty-three million, four hundred thousand, eighty".