34398749960 has 128 divisors (see below), whose sum is σ = 82791072000. Its totient is φ = 12817981440.

The previous prime is 34398749953. The next prime is 34398749971. The reversal of 34398749960 is 6994789343.

It is a Cunningham number, because it is equal to 185469²-1.

It is a junction number, because it is equal to n+sod(n) for n = 34398749893 and 34398749902.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31529015 + ... + 31530105.

It is an arithmetic number, because the mean of its divisors is an integer number (646805250).

Almost surely, 2^34398749960 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 34398749960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41395536000).

34398749960 is an abundant number, since it is smaller than the sum of its proper divisors (48392322040).

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

34398749960 is a wasteful number, since it uses less digits than its factorization.

34398749960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 62.

The spelling of 34398749960 in words is "thirty-four billion, three hundred ninety-eight million, seven hundred forty-nine thousand, nine hundred sixty".