33400055808 has 480 divisors, whose sum is σ = 116540424000. Its totient is φ = 9526616064.

The previous prime is 33400055789. The next prime is 33400055809. The reversal of 33400055808 is 80855000433.

33400055808 is a `hidden beast` number, since 33 + 40 + 0 + 0 + 5 + 580 + 8 = 666.

It is a super-2 number, since 2×33400055808² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33400055809) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56899291 + ... + 56899877.

It is an arithmetic number, because the mean of its divisors is an integer number (242792550).

Almost surely, 2^33400055808 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 33400055808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58270212000).

33400055808 is an abundant number, since it is smaller than the sum of its proper divisors (83140368192).

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

33400055808 is an frugal number, since it uses more digits than its factorization.

33400055808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 33400055808 in words is "thirty-three billion, four hundred million, fifty-five thousand, eight hundred eight".