349188840 has 1024 divisors, whose sum is σ = 1741824000. Its totient is φ = 59719680.

The previous prime is 349188793. The next prime is 349188883. The reversal of 349188840 is 48881943.

349188840 is a `hidden beast` number, since 3 + 491 + 88 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18378351 + ... + 18378369.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^349188840 is an apocalyptic number.

349188840 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 349188840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912000).

349188840 is an abundant number, since it is smaller than the sum of its proper divisors (1392635160).

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

349188840 is a wasteful number, since it uses less digits than its factorization.

349188840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 349188840 is about 18686.5951954871. The cubic root of 349188840 is about 704.1850247578.

The spelling of 349188840 in words is "three hundred forty-nine million, one hundred eighty-eight thousand, eight hundred forty".