34274458400 has 288 divisors, whose sum is σ = 105502497408. Its totient is φ = 10581811200.

The previous prime is 34274458363. The next prime is 34274458453. The reversal of 34274458400 is 485447243.

It is a super-2 number, since 2×34274458400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 2979059 + ... + 2990541.

It is an arithmetic number, because the mean of its divisors is an integer number (366328116).

Almost surely, 2^34274458400 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 34274458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52751248704).

34274458400 is an abundant number, since it is smaller than the sum of its proper divisors (71228039008).

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

34274458400 is a wasteful number, since it uses less digits than its factorization.

34274458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11564 (or 11551 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 41.

The spelling of 34274458400 in words is "thirty-four billion, two hundred seventy-four million, four hundred fifty-eight thousand, four hundred".