34025491600 has 135 divisors (see below), whose sum is σ = 85668593899. Its totient is φ = 12985984000.

The previous prime is 34025491567. The next prime is 34025491627. The reversal of 34025491600 is 619452043.

It is a happy number.

The square root of 34025491600 is 184460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9101923216 + 24923568384 = 95404^2 + 157872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 84851400 + ... + 84851800.

Almost surely, 2^34025491600 is an apocalyptic number.

34025491600 is the 184460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34025491600

34025491600 is an abundant number, since it is smaller than the sum of its proper divisors (51643102299).

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

34025491600 is an equidigital number, since it uses as much as digits as its factorization.

34025491600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

It can be divided in two parts, 34025 and 491600, that added together give a square (525625 = 725²).

The spelling of 34025491600 in words is "thirty-four billion, twenty-five million, four hundred ninety-one thousand, six hundred".