34525430400 has 192 divisors, whose sum is σ = 114447451680. Its totient is φ = 9147740160.

The previous prime is 34525430371. The next prime is 34525430413. The reversal of 34525430400 is 403452543.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1495747 + ... + 1518653.

Almost surely, 2^34525430400 is an apocalyptic number.

34525430400 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 34525430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57223725840).

34525430400 is an abundant number, since it is smaller than the sum of its proper divisors (79922021280).

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

34525430400 is a wasteful number, since it uses less digits than its factorization.

34525430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23091 (or 23074 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 34525430400 its reverse (403452543), we get a palindrome (34928882943).

The spelling of 34525430400 in words is "thirty-four billion, five hundred twenty-five million, four hundred thirty thousand, four hundred".