349135496378240 has 1536 divisors, whose sum is σ = 1088798738227200. Its totient is φ = 105916833792000.

The previous prime is 349135496378237. The next prime is 349135496378261. The reversal of 349135496378240 is 42873694531943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42100019534 + ... + 42100027826.

It is an arithmetic number, because the mean of its divisors is an integer number (708853345200).

It is a 1-persistent number, because it is pandigital, but 2⋅349135496378240 = 698270992756480 is not.

Almost surely, 2^{349135496378240} 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 349135496378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544399369113600).

349135496378240 is an abundant number, since it is smaller than the sum of its proper divisors (739663241848960).

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

349135496378240 is a wasteful number, since it uses less digits than its factorization.

349135496378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8468 (or 8445 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 68.

The spelling of 349135496378240 in words is "three hundred forty-nine trillion, one hundred thirty-five billion, four hundred ninety-six million, three hundred seventy-eight thousand, two hundred forty".