349834067733 has 8 divisors (see below), whose sum is σ = 466454560000. Its totient is φ = 233218143648.

The previous prime is 349834067729. The next prime is 349834067789. The reversal of 349834067733 is 337760438943.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 349834067733 - 2² = 349834067729 is a prime.

It is a super-3 number, since 3×349834067733³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349834047733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 959173 + ... + 1272666.

It is an arithmetic number, because the mean of its divisors is an integer number (58306820000).

Almost surely, 2^349834067733 is an apocalyptic number.

It is an amenable number.

349834067733 is a deficient number, since it is larger than the sum of its proper divisors (116620492267).

349834067733 is a wasteful number, since it uses less digits than its factorization.

349834067733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284091.

The product of its (nonzero) digits is 27433728, while the sum is 57.

The spelling of 349834067733 in words is "three hundred forty-nine billion, eight hundred thirty-four million, sixty-seven thousand, seven hundred thirty-three".