34302144400 has 120 divisors (see below), whose sum is σ = 88032774024. Its totient is φ = 12799180800.

The previous prime is 34302144391. The next prime is 34302144419. The reversal of 34302144400 is 444120343.

It can be written as a sum of positive squares in 12 ways, for example, as 10417060096 + 23885084304 = 102064^2 + 154548^2 .

It is a super-2 number, since 2×34302144400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 746080 + ... + 790720.

Almost surely, 2^34302144400 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 34302144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44016387012).

34302144400 is an abundant number, since it is smaller than the sum of its proper divisors (53730629624).

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

34302144400 is a wasteful number, since it uses less digits than its factorization.

34302144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44789 (or 44778 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34302144400 its reverse (444120343), we get a palindrome (34746264743).

The spelling of 34302144400 in words is "thirty-four billion, three hundred two million, one hundred forty-four thousand, four hundred".