349716000 has 192 divisors, whose sum is σ = 1159232256. Its totient is φ = 92160000.

The previous prime is 349715999. The next prime is 349716007. The reversal of 349716000 is 617943.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (349716007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811904 + ... + 1812096.

It is an arithmetic number, because the mean of its divisors is an integer number (6037668).

Almost surely, 2^349716000 is an apocalyptic number.

349716000 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 349716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579616128).

349716000 is an abundant number, since it is smaller than the sum of its proper divisors (809516256).

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

349716000 is a wasteful number, since it uses less digits than its factorization.

349716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 349716000 is about 18700.6951742442. The cubic root of 349716000 is about 704.5392089756.

The spelling of 349716000 in words is "three hundred forty-nine million, seven hundred sixteen thousand".