34993427232 has 384 divisors, whose sum is σ = 105815808000. Its totient is φ = 10058121216.

The previous prime is 34993427221. The next prime is 34993427237. The reversal of 34993427232 is 23272439943.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (34993427237) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 175846269 + ... + 175846467.

It is an arithmetic number, because the mean of its divisors is an integer number (275562000).

Almost surely, 2^34993427232 is an apocalyptic number.

34993427232 is a gapful number since it is divisible by the number (32) 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 34993427232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52907904000).

34993427232 is an abundant number, since it is smaller than the sum of its proper divisors (70822380768).

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

34993427232 is a wasteful number, since it uses less digits than its factorization.

34993427232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 48.

The spelling of 34993427232 in words is "thirty-four billion, nine hundred ninety-three million, four hundred twenty-seven thousand, two hundred thirty-two".