349929000 has 192 divisors, whose sum is σ = 1204632000. Its totient is φ = 91593600.

The previous prime is 349928983. The next prime is 349929011. The reversal of 349929000 is 929943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530671 + ... + 531329.

It is an arithmetic number, because the mean of its divisors is an integer number (6274125).

Almost surely, 2^349929000 is an apocalyptic number.

349929000 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 349929000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602316000).

349929000 is an abundant number, since it is smaller than the sum of its proper divisors (854703000).

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

349929000 is a wasteful number, since it uses less digits than its factorization.

349929000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 349929000 is about 18706.3892828092. The cubic root of 349929000 is about 704.6822168210.

The spelling of 349929000 in words is "three hundred forty-nine million, nine hundred twenty-nine thousand".