349992720 has 480 divisors, whose sum is σ = 1504189440. Its totient is φ = 70824960.

The previous prime is 349992707. The next prime is 349992739. The reversal of 349992720 is 27299943.

349992720 is a `hidden beast` number, since 3 + 499 + 92 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3270907 + ... + 3271013.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 2^349992720 is an apocalyptic number.

349992720 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 349992720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752094720).

349992720 is an abundant number, since it is smaller than the sum of its proper divisors (1154196720).

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

349992720 is a wasteful number, since it uses less digits than its factorization.

349992720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 349992720 is about 18708.0923666738. The cubic root of 349992720 is about 704.7249870455.

The spelling of 349992720 in words is "three hundred forty-nine million, nine hundred ninety-two thousand, seven hundred twenty".