10349342784 has 168 divisors, whose sum is σ = 33560418528. Its totient is φ = 3136112640.

The previous prime is 10349342747. The next prime is 10349342789. The reversal of 10349342784 is 48724394301.

10349342784 is a `hidden beast` number, since 1 + 0 + 349 + 34 + 278 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (10349342789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140824 + ... + 201320.

It is an arithmetic number, because the mean of its divisors is an integer number (199764396).

Almost surely, 2^10349342784 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 10349342784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16780209264).

10349342784 is an abundant number, since it is smaller than the sum of its proper divisors (23211075744).

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

10349342784 is an equidigital number, since it uses as much as digits as its factorization.

10349342784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60535 (or 60513 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 10349342784 in words is "ten billion, three hundred forty-nine million, three hundred forty-two thousand, seven hundred eighty-four".