349869347520 has 896 divisors, whose sum is σ = 1440726884352. Its totient is φ = 69827788800.

The previous prime is 349869347491. The next prime is 349869347521. The reversal of 349869347520 is 25743968943.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (349869347521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 203057379 + ... + 203059101.

It is an arithmetic number, because the mean of its divisors is an integer number (1607954112).

Almost surely, 2^349869347520 is an apocalyptic number.

349869347520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349869347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720363442176).

349869347520 is an abundant number, since it is smaller than the sum of its proper divisors (1090857536832).

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

349869347520 is a wasteful number, since it uses less digits than its factorization.

349869347520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 349869347520 in words is "three hundred forty-nine billion, eight hundred sixty-nine million, three hundred forty-seven thousand, five hundred twenty".