10349047296 has 560 divisors, whose sum is σ = 37676811744. Its totient is φ = 2770993152.

The previous prime is 10349047277. The next prime is 10349047307. The reversal of 10349047296 is 69274094301.

It is a happy number.

10349047296 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 90 + 472 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 44416396 + ... + 44416628.

Almost surely, 2^10349047296 is an apocalyptic number.

10349047296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10349047296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18838405872).

10349047296 is an abundant number, since it is smaller than the sum of its proper divisors (27327764448).

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

10349047296 is an frugal number, since it uses more digits than its factorization.

10349047296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10349047296 in words is "ten billion, three hundred forty-nine million, forty-seven thousand, two hundred ninety-six".