34838640400 has 30 divisors (see below), whose sum is σ = 83699834522. Its totient is φ = 13935456000.

The previous prime is 34838640329. The next prime is 34838640437. The reversal of 34838640400 is 404683843.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4466516224 + 30372124176 = 66832^2 + 174276^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43547901 + ... + 43548700.

Almost surely, 2^34838640400 is an apocalyptic number.

It is an amenable number.

34838640400 is an abundant number, since it is smaller than the sum of its proper divisors (48861194122).

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

34838640400 is a wasteful number, since it uses less digits than its factorization.

34838640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87096619 (or 87096608 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 34838640400 in words is "thirty-four billion, eight hundred thirty-eight million, six hundred forty thousand, four hundred".