34264043400 has 192 divisors, whose sum is σ = 109792972800. Its totient is φ = 8834325760.

The previous prime is 34264043393. The next prime is 34264043419. The reversal of 34264043400 is 434046243.

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

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, 2333281 + ... + 2347919.

It is an arithmetic number, because the mean of its divisors is an integer number (571838400).

Almost surely, 2^34264043400 is an apocalyptic number.

34264043400 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 34264043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54896486400).

34264043400 is an abundant number, since it is smaller than the sum of its proper divisors (75528929400).

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

34264043400 is a wasteful number, since it uses less digits than its factorization.

34264043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14788 (or 14779 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34264043400 its reverse (434046243), we get a palindrome (34698089643).

The spelling of 34264043400 in words is "thirty-four billion, two hundred sixty-four million, forty-three thousand, four hundred".