34139012979600 has 135 divisors (see below), whose sum is σ = 118473074691699. Its totient is φ = 9103643308800.

The previous prime is 34139012979553. The next prime is 34139012979607. The reversal of 34139012979600 is 697921093143.

It is a happy number.

The square root of 34139012979600 is 5842860.

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

34139012979600 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 9 + 0 + 1 + 29 + 7 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1586602236816 + 32552410742784 = 1259604^2 + 5705472^2 .

It is not an unprimeable number, because it can be changed into a prime (34139012979607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 350522910 + ... + 350620290.

Almost surely, 2^{34139012979600} is an apocalyptic number.

34139012979600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34139012979600 is the 5842860-th square number.

It is an amenable number.

34139012979600 is an abundant number, since it is smaller than the sum of its proper divisors (84334061712099).

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

34139012979600 is an frugal number, since it uses more digits than its factorization.

34139012979600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194786 (or 97391 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 34139012979600 in words is "thirty-four trillion, one hundred thirty-nine billion, twelve million, nine hundred seventy-nine thousand, six hundred".