349549630475136 has 3072 divisors, whose sum is σ = 1268488599920640. Its totient is φ = 84365593804800.

The previous prime is 349549630475107. The next prime is 349549630475137. The reversal of 349549630475136 is 631574036945943.

It is a happy number.

It is a super-3 number, since 3×349549630475136³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349549630475137) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2020518095146 + ... + 2020518095318.

It is an arithmetic number, because the mean of its divisors is an integer number (412919466120).

Almost surely, 2^{349549630475136} 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 349549630475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634244299960320).

349549630475136 is an abundant number, since it is smaller than the sum of its proper divisors (918938969445504).

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

349549630475136 is a wasteful number, since it uses less digits than its factorization.

349549630475136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 69.

The spelling of 349549630475136 in words is "three hundred forty-nine trillion, five hundred forty-nine billion, six hundred thirty million, four hundred seventy-five thousand, one hundred thirty-six".