34225044534400 has 48 divisors (see below), whose sum is σ = 84546555334290. Its totient is φ = 13690017812480.

The previous prime is 34225044534371. The next prime is 34225044534431. The reversal of 34225044534400 is 443544052243.

It can be written as a sum of positive squares in 3 ways, for example, as 31350771878976 + 2874272655424 = 5599176^2 + 1695368^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5347660009 + ... + 5347666408.

Almost surely, 2^{34225044534400} is an apocalyptic number.

It is an amenable number.

34225044534400 is an abundant number, since it is smaller than the sum of its proper divisors (50321510799890).

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

34225044534400 is a wasteful number, since it uses less digits than its factorization.

34225044534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10695326441 (or 10695326424 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

Adding to 34225044534400 its reverse (443544052243), we get a palindrome (34668588586643).

The spelling of 34225044534400 in words is "thirty-four trillion, two hundred twenty-five billion, forty-four million, five hundred thirty-four thousand, four hundred".