33997408830 has 512 divisors, whose sum is σ = 120434688000. Its totient is φ = 6752592000.

The previous prime is 33997408801. The next prime is 33997408849. The reversal of 33997408830 is 3880479933.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23429605 + ... + 23431055.

It is an arithmetic number, because the mean of its divisors is an integer number (235224000).

Almost surely, 2^33997408830 is an apocalyptic number.

33997408830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33997408830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60217344000).

33997408830 is an abundant number, since it is smaller than the sum of its proper divisors (86437279170).

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

33997408830 is a wasteful number, since it uses less digits than its factorization.

33997408830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 33997408830 in words is "thirty-three billion, nine hundred ninety-seven million, four hundred eight thousand, eight hundred thirty".