34112870400 has 288 divisors, whose sum is σ = 128886750720. Its totient is φ = 7796981760.

The previous prime is 34112870387. The next prime is 34112870401. The reversal of 34112870400 is 407821143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34112870401) 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 23 ways as a sum of consecutive naturals, for example, 1059337 + ... + 1091063.

It is an arithmetic number, because the mean of its divisors is an integer number (447523440).

Almost surely, 2^34112870400 is an apocalyptic number.

34112870400 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 34112870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64443375360).

34112870400 is an abundant number, since it is smaller than the sum of its proper divisors (94773880320).

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

34112870400 is a wasteful number, since it uses less digits than its factorization.

34112870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31769 (or 31744 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 34112870400 in words is "thirty-four billion, one hundred twelve million, eight hundred seventy thousand, four hundred".