34069776400 has 135 divisors (see below), whose sum is σ = 90077617693. Its totient is φ = 12374243200.

The previous prime is 34069776397. The next prime is 34069776407. The reversal of 34069776400 is 467796043.

The square root of 34069776400 is 184580.

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

It can be written as a sum of positive squares in only one way, i.e., 12265119504 + 21804656896 = 110748^2 + 147664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34069776407) 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, 40607181 + ... + 40608019.

Almost surely, 2^34069776400 is an apocalyptic number.

34069776400 is the 184580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34069776400

34069776400 is an abundant number, since it is smaller than the sum of its proper divisors (56007841293).

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

34069776400 is an equidigital number, since it uses as much as digits as its factorization.

34069776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 46.

The spelling of 34069776400 in words is "thirty-four billion, sixty-nine million, seven hundred seventy-six thousand, four hundred".