349658500 has 48 divisors (see below), whose sum is σ = 766846080. Its totient is φ = 139279200.

The previous prime is 349658479. The next prime is 349658509. The reversal of 349658500 is 5856943.

It is a super-2 number, since 2×349658500² = 244522133244500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (349658509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130171 + ... + 132829.

It is an arithmetic number, because the mean of its divisors is an integer number (15975960).

Almost surely, 2^349658500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349658500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383423040).

349658500 is an abundant number, since it is smaller than the sum of its proper divisors (417187580).

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

349658500 is a wasteful number, since it uses less digits than its factorization.

349658500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 349658500 is about 18699.1577350425. The cubic root of 349658500 is about 704.5005936182.

The spelling of 349658500 in words is "three hundred forty-nine million, six hundred fifty-eight thousand, five hundred".