34588089994896 has 45 divisors (see below), whose sum is σ = 96798810481321. Its totient is φ = 11529339806976.

The previous prime is 34588089994831. The next prime is 34588089994919. The reversal of 34588089994896 is 69849998088543.

The square root of 34588089994896 is 5881164.

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

34588089994896 is a `hidden beast` number, since 3 + 45 + 8 + 8 + 0 + 89 + 9 + 9 + 489 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30383687379600 + 4204402615296 = 5512140^2 + 2050464^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70328920 + ... + 70819016.

Almost surely, 2^{34588089994896} is an apocalyptic number.

34588089994896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34588089994896 is the 5881164-th square number.

It is an amenable number.

34588089994896 is an abundant number, since it is smaller than the sum of its proper divisors (62210720486425).

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

34588089994896 is an frugal number, since it uses more digits than its factorization.

34588089994896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980208 (or 490102 counting only the distinct ones).

The product of its (nonzero) digits is 38698352640, while the sum is 90.

The spelling of 34588089994896 in words is "thirty-four trillion, five hundred eighty-eight billion, eighty-nine million, nine hundred ninety-four thousand, eight hundred ninety-six".