34050130400 has 144 divisors (see below), whose sum is σ = 97657530768. Its totient is φ = 11429376000.

The previous prime is 34050130397. The next prime is 34050130493. The reversal of 34050130400 is 403105043.

It is a super-2 number, since 2×34050130400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34421 + ... + 263220.

It is an arithmetic number, because the mean of its divisors is an integer number (678177297).

Almost surely, 2^34050130400 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 34050130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48828765384).

34050130400 is an abundant number, since it is smaller than the sum of its proper divisors (63607400368).

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

34050130400 is a wasteful number, since it uses less digits than its factorization.

34050130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297685 (or 297672 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 34050130400 its reverse (403105043), we get a palindrome (34453235443).

The spelling of 34050130400 in words is "thirty-four billion, fifty million, one hundred thirty thousand, four hundred".