34525440000 has 840 divisors, whose sum is σ = 132833831130. Its totient is φ = 8957952000.

The previous prime is 34525439989. The next prime is 34525440017. The reversal of 34525440000 is 4452543.

34525440000 is a `hidden beast` number, since 3 + 4 + 5 + 254 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 3763086336 + 30762353664 = 61344^2 + 175392^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 933119982 + ... + 933120018.

Almost surely, 2^34525440000 is an apocalyptic number.

34525440000 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 34525440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66416915565).

34525440000 is an abundant number, since it is smaller than the sum of its proper divisors (98308391130).

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

34525440000 is an frugal number, since it uses more digits than its factorization.

34525440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 34525440000 its reverse (4452543), we get a palindrome (34529892543).

The spelling of 34525440000 in words is "thirty-four billion, five hundred twenty-five million, four hundred forty thousand".