349571880 has 384 divisors, whose sum is σ = 1404000000. Its totient is φ = 75188736.

The previous prime is 349571879. The next prime is 349571921. The reversal of 349571880 is 88175943.

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 95 ways as a sum of consecutive naturals, for example, 2346046 + ... + 2346194.

It is an arithmetic number, because the mean of its divisors is an integer number (3656250).

Almost surely, 2^349571880 is an apocalyptic number.

349571880 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 349571880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702000000).

349571880 is an abundant number, since it is smaller than the sum of its proper divisors (1054428120).

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

349571880 is a wasteful number, since it uses less digits than its factorization.

349571880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 349571880 is about 18696.8414444793. The cubic root of 349571880 is about 704.4424141077.

The spelling of 349571880 in words is "three hundred forty-nine million, five hundred seventy-one thousand, eight hundred eighty".