349048465920 has 1680 divisors, whose sum is σ = 1596917174688. Its totient is φ = 72320532480.

The previous prime is 349048465919. The next prime is 349048465949. The reversal of 349048465920 is 29564840943.

349048465920 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 4 + 8 + 46 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-5 number, since 5×349048465920⁵ (a number of 59 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1005903187 + ... + 1005903533.

Almost surely, 2^349048465920 is an apocalyptic number.

349048465920 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 349048465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798458587344).

349048465920 is an abundant number, since it is smaller than the sum of its proper divisors (1247868708768).

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

349048465920 is an equidigital number, since it uses as much as digits as its factorization.

349048465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 349048465920 in words is "three hundred forty-nine billion, forty-eight million, four hundred sixty-five thousand, nine hundred twenty".