34933478400 has 792 divisors, whose sum is σ = 132835299584. Its totient is φ = 8758886400.

The previous prime is 34933478317. The next prime is 34933478429. The reversal of 34933478400 is 487433943.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 478540764 + ... + 478540836.

Almost surely, 2^34933478400 is an apocalyptic number.

34933478400 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 34933478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66417649792).

34933478400 is an abundant number, since it is smaller than the sum of its proper divisors (97901821184).

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

34933478400 is a wasteful number, since it uses less digits than its factorization.

34933478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 34933478400 in words is "thirty-four billion, nine hundred thirty-three million, four hundred seventy-eight thousand, four hundred".