34425131230400 has 84 divisors (see below), whose sum is σ = 84732554786520. Its totient is φ = 13765953331200.

The previous prime is 34425131230333. The next prime is 34425131230411. The reversal of 34425131230400 is 403213152443.

It is a super-2 number, since 2×34425131230400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 2176811 + ... + 8578389.

Almost surely, 2^{34425131230400} 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 34425131230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42366277393260).

34425131230400 is an abundant number, since it is smaller than the sum of its proper divisors (50307423556120).

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

34425131230400 is a wasteful number, since it uses less digits than its factorization.

34425131230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404962 (or 6404947 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 34425131230400 its reverse (403213152443), we get a palindrome (34828344382843).

The spelling of 34425131230400 in words is "thirty-four trillion, four hundred twenty-five billion, one hundred thirty-one million, two hundred thirty thousand, four hundred".