34372190336 has 128 divisors (see below), whose sum is σ = 75728977920. Its totient is φ = 15410304000.

The previous prime is 34372190317. The next prime is 34372190341. The reversal of 34372190336 is 63309127343.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34372190293 and 34372190302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37729721 + ... + 37730631.

It is an arithmetic number, because the mean of its divisors is an integer number (591632640).

Almost surely, 2^34372190336 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 34372190336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37864488960).

34372190336 is an abundant number, since it is smaller than the sum of its proper divisors (41356787584).

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

34372190336 is a wasteful number, since it uses less digits than its factorization.

34372190336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 41.

The spelling of 34372190336 in words is "thirty-four billion, three hundred seventy-two million, one hundred ninety thousand, three hundred thirty-six".