34533990400 has 672 divisors, whose sum is σ = 112625916480. Its totient is φ = 10192158720.

The previous prime is 34533990331. The next prime is 34533990427. The reversal of 34533990400 is 409933543.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316825546 + ... + 316825654.

It is an arithmetic number, because the mean of its divisors is an integer number (167598090).

Almost surely, 2^34533990400 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 34533990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56312958240).

34533990400 is an abundant number, since it is smaller than the sum of its proper divisors (78091926080).

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

34533990400 is a wasteful number, since it uses less digits than its factorization.

34533990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 40.

The spelling of 34533990400 in words is "thirty-four billion, five hundred thirty-three million, nine hundred ninety thousand, four hundred".