349280100 has 360 divisors, whose sum is σ = 1270418688. Its totient is φ = 82425600.

The previous prime is 349280051. The next prime is 349280101. The reversal of 349280100 is 1082943.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (349280101) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3264247 + ... + 3264353.

Almost surely, 2^349280100 is an apocalyptic number.

349280100 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 349280100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635209344).

349280100 is an abundant number, since it is smaller than the sum of its proper divisors (921138588).

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

349280100 is a wasteful number, since it uses less digits than its factorization.

349280100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 349280100 is about 18689.0368933233. The cubic root of 349280100 is about 704.2463653281.

The spelling of 349280100 in words is "three hundred forty-nine million, two hundred eighty thousand, one hundred".