349553880 has 320 divisors, whose sum is σ = 1301398560. Its totient is φ = 83607552.

The previous prime is 349553873. The next prime is 349553891. The reversal of 349553880 is 88355943.

It is a happy number.

349553880 is a `hidden beast` number, since 34 + 9 + 5 + 538 + 80 = 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 79 ways as a sum of consecutive naturals, for example, 1811064 + ... + 1811256.

Almost surely, 2^349553880 is an apocalyptic number.

349553880 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 349553880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650699280).

349553880 is an abundant number, since it is smaller than the sum of its proper divisors (951844680).

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

349553880 is a wasteful number, since it uses less digits than its factorization.

349553880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 349553880 is about 18696.3600735544. The cubic root of 349553880 is about 704.4303229548.

It can be divided in two parts, 3495 and 53880, that added together give a palindrome (57375).

The spelling of 349553880 in words is "three hundred forty-nine million, five hundred fifty-three thousand, eight hundred eighty".