349963350390 has 160 divisors (see below), whose sum is σ = 958735388160. Its totient is φ = 91571812416.

The previous prime is 349963350349. The next prime is 349963350397. The reversal of 349963350390 is 93053369943.

It is a happy number.

349963350390 is a `hidden beast` number, since 3 + 49 + 9 + 6 + 3 + 3 + 503 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349963350397) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26899267 + ... + 26912273.

It is an arithmetic number, because the mean of its divisors is an integer number (5992096176).

Almost surely, 2^349963350390 is an apocalyptic number.

349963350390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 349963350390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479367694080).

349963350390 is an abundant number, since it is smaller than the sum of its proper divisors (608772037770).

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

349963350390 is a wasteful number, since it uses less digits than its factorization.

349963350390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13648 (or 13639 counting only the distinct ones).

The product of its (nonzero) digits is 7085880, while the sum is 54.

The spelling of 349963350390 in words is "three hundred forty-nine billion, nine hundred sixty-three million, three hundred fifty thousand, three hundred ninety".