349850016 has 96 divisors (see below), whose sum is σ = 1033200000. Its totient is φ = 116593344.

The previous prime is 349850009. The next prime is 349850023. The reversal of 349850016 is 610058943.

It is an interprime number because it is at equal distance from previous prime (349850009) and next prime (349850023).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67485 + ... + 72483.

It is an arithmetic number, because the mean of its divisors is an integer number (10762500).

Almost surely, 2^349850016 is an apocalyptic number.

349850016 is a gapful number since it is divisible by the number (36) 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 349850016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516600000).

349850016 is an abundant number, since it is smaller than the sum of its proper divisors (683349984).

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

349850016 is an frugal number, since it uses more digits than its factorization.

349850016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 349850016 is about 18704.2780133316. The cubic root of 349850016 is about 704.6291938665.

The spelling of 349850016 in words is "three hundred forty-nine million, eight hundred fifty thousand, sixteen".