34422154400 has 72 divisors (see below), whose sum is σ = 84185041500. Its totient is φ = 13743964160.

The previous prime is 34422154399. The next prime is 34422154411. The reversal of 34422154400 is 445122443.

It can be written as a sum of positive squares in 6 ways, for example, as 23775376 + 34398379024 = 4876^2 + 185468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406976 + ... + 484224.

Almost surely, 2^34422154400 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 34422154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42092520750).

34422154400 is an abundant number, since it is smaller than the sum of its proper divisors (49762887100).

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

34422154400 is a wasteful number, since it uses less digits than its factorization.

34422154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77826 (or 77813 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 34422154400 its reverse (445122443), we get a palindrome (34867276843).

The spelling of 34422154400 in words is "thirty-four billion, four hundred twenty-two million, one hundred fifty-four thousand, four hundred".