34735640625 has 189 divisors, whose sum is σ = 73997744223. Its totient is φ = 15655500000.

The previous prime is 34735640623. The next prime is 34735640629. The reversal of 34735640625 is 52604653743.

The square root of 34735640625 is 186375.

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

It can be written as a sum of positive squares in 3 ways, for example, as 30431755809 + 4303884816 = 174447^2 + 65604^2 .

It is not a de Polignac number, because 34735640625 - 2¹ = 34735640623 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (34735640623) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 489234340 + ... + 489234410.

Almost surely, 2^34735640625 is an apocalyptic number.

34735640625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34735640625 is the 186375-th square number.

34735640625 is the 93188-th centered octagonal number.

It is an amenable number.

34735640625 is an abundant number, since it is smaller than the sum of its proper divisors (39262103598).

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

34735640625 is an frugal number, since it uses more digits than its factorization.

34735640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 34735640625 in words is "thirty-four billion, seven hundred thirty-five million, six hundred forty thousand, six hundred twenty-five".