34996359825 has 270 divisors, whose sum is σ = 79668336726. Its totient is φ = 15140805120.

The previous prime is 34996359809. The next prime is 34996359857. The reversal of 34996359825 is 52895369943.

34996359825 is a `hidden beast` number, since 3 + 499 + 6 + 35 + 98 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8495124561 + 26501235264 = 92169^2 + 162792^2 .

It is not a de Polignac number, because 34996359825 - 2⁴ = 34996359809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 35819737 + ... + 35820713.

Almost surely, 2^34996359825 is an apocalyptic number.

34996359825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34996359825 is an abundant number, since it is smaller than the sum of its proper divisors (44671976901).

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

34996359825 is a wasteful number, since it uses less digits than its factorization.

34996359825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1011 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 34996359825 in words is "thirty-four billion, nine hundred ninety-six million, three hundred fifty-nine thousand, eight hundred twenty-five".