34784100864 has 280 divisors, whose sum is σ = 106791219612. Its totient is φ = 11306926080.

The previous prime is 34784100863. The next prime is 34784100881. The reversal of 34784100864 is 46800148743.

It can be written as a sum of positive squares in 2 ways, for example, as 34667460864 + 116640000 = 186192^2 + 10800^2 .

It is not an unprimeable number, because it can be changed into a prime (34784100863) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15302032 + ... + 15304304.

Almost surely, 2^34784100864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34784100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53395609806).

34784100864 is an abundant number, since it is smaller than the sum of its proper divisors (72007118748).

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

34784100864 is an frugal number, since it uses more digits than its factorization.

34784100864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 34784100864 in words is "thirty-four billion, seven hundred eighty-four million, one hundred thousand, eight hundred sixty-four".