34356134400 has 1080 divisors, whose sum is σ = 143599001040. Its totient is φ = 7199539200.

The previous prime is 34356134341. The next prime is 34356134413. The reversal of 34356134400 is 443165343.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1108262385 + ... + 1108262415.

It is an arithmetic number, because the mean of its divisors is an integer number (132962038).

Almost surely, 2^34356134400 is an apocalyptic number.

34356134400 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 34356134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71799500520).

34356134400 is an abundant number, since it is smaller than the sum of its proper divisors (109242866640).

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

34356134400 is a wasteful number, since it uses less digits than its factorization.

34356134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 34356134400 its reverse (443165343), we get a palindrome (34799299743).

The spelling of 34356134400 in words is "thirty-four billion, three hundred fifty-six million, one hundred thirty-four thousand, four hundred".