349491635369484 has 192 divisors, whose sum is σ = 869448335616000. Its totient is φ = 109068344985600.

The previous prime is 349491635369483. The next prime is 349491635369489. The reversal of 349491635369484 is 484963536194943.

It is a happy number.

It is a super-4 number, since 4×349491635369484⁴ (a number of 59 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (349491635369483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2671746009 + ... + 2671876815.

It is an arithmetic number, because the mean of its divisors is an integer number (4528376748000).

Almost surely, 2^{349491635369484} 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 349491635369484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434724167808000).

349491635369484 is an abundant number, since it is smaller than the sum of its proper divisors (519956700246516).

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

349491635369484 is a wasteful number, since it uses less digits than its factorization.

349491635369484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132024 (or 132022 counting only the distinct ones).

The product of its digits is 7255941120, while the sum is 78.

The spelling of 349491635369484 in words is "three hundred forty-nine trillion, four hundred ninety-one billion, six hundred thirty-five million, three hundred sixty-nine thousand, four hundred eighty-four".