10346346272 has 96 divisors (see below), whose sum is σ = 21273658560. Its totient is φ = 4949683200.

The previous prime is 10346346247. The next prime is 10346346299. The reversal of 10346346272 is 27264364301.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 15148043 + ... + 15148725.

It is an arithmetic number, because the mean of its divisors is an integer number (221600610).

Almost surely, 2^10346346272 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 10346346272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10636829280).

10346346272 is an abundant number, since it is smaller than the sum of its proper divisors (10927312288).

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

10346346272 is a wasteful number, since it uses less digits than its factorization.

10346346272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 10346346272 in words is "ten billion, three hundred forty-six million, three hundred forty-six thousand, two hundred seventy-two".