34780385025 has 27 divisors (see below), whose sum is σ = 62300544969. Its totient is φ = 18548046720.

The previous prime is 34780384981. The next prime is 34780385041. The reversal of 34780385025 is 52058308743.

The square root of 34780385025 is 186495.

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

34780385025 is a `hidden beast` number, since 34 + 7 + 80 + 38 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9731625201 + 25048759824 = 98649^2 + 158268^2 .

It is not a de Polignac number, because 34780385025 - 2²⁹ = 34243514113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2791209 + ... + 2803641.

Almost surely, 2^34780385025 is an apocalyptic number.

34780385025 is the 186495-th square number.

34780385025 is the 93248-th centered octagonal number.

It is an amenable number.

34780385025 is a deficient number, since it is larger than the sum of its proper divisors (27520159944).

34780385025 is an frugal number, since it uses more digits than its factorization.

34780385025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24882 (or 12441 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 34780385025 in words is "thirty-four billion, seven hundred eighty million, three hundred eighty-five thousand, twenty-five".