34239233044900 has 729 divisors, whose sum is σ = 89633846822499. Its totient is φ = 11344846106880.

The previous prime is 34239233044889. The next prime is 34239233044909. The reversal of 34239233044900 is 944033293243.

The square root of 34239233044900 is 5851430.

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 8825212967076 + 25414020077824 = 2970726^2 + 5041232^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34239233044909) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 332419738249 + ... + 332419738351.

Almost surely, 2^{34239233044900} is an apocalyptic number.

34239233044900 is the 5851430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34239233044900

34239233044900 is an abundant number, since it is smaller than the sum of its proper divisors (55394613777599).

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

34239233044900 is a wasteful number, since it uses less digits than its factorization.

34239233044900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 46.

The spelling of 34239233044900 in words is "thirty-four trillion, two hundred thirty-nine billion, two hundred thirty-three million, forty-four thousand, nine hundred".