34896938000 has 40 divisors (see below), whose sum is σ = 84380800920. Its totient is φ = 13958774400.

The previous prime is 34896937997. The next prime is 34896938009. The reversal of 34896938000 is 83969843.

It can be written as a sum of positive squares in 4 ways, for example, as 10070523904 + 24826414096 = 100352^2 + 157564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 34896938000.

It is not an unprimeable number, because it can be changed into a prime (34896938009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8722235 + ... + 8726234.

It is an arithmetic number, because the mean of its divisors is an integer number (2109520023).

Almost surely, 2^34896938000 is an apocalyptic number.

It is an amenable number.

34896938000 is an abundant number, since it is smaller than the sum of its proper divisors (49483862920).

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

34896938000 is a wasteful number, since it uses less digits than its factorization.

34896938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17448492 (or 17448476 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The spelling of 34896938000 in words is "thirty-four billion, eight hundred ninety-six million, nine hundred thirty-eight thousand".