349200720 has 480 divisors, whose sum is σ = 1403910144. Its totient is φ = 79833600.

The previous prime is 349200713. The next prime is 349200727. The reversal of 349200720 is 27002943.

It is an interprime number because it is at equal distance from previous prime (349200713) and next prime (349200727).

It is a super-2 number, since 2×349200720² = 243882285697036800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349200727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4918285 + ... + 4918355.

Almost surely, 2^349200720 is an apocalyptic number.

349200720 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 349200720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701955072).

349200720 is an abundant number, since it is smaller than the sum of its proper divisors (1054709424).

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

349200720 is a wasteful number, since it uses less digits than its factorization.

349200720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 349200720 is about 18686.9130677060. The cubic root of 349200720 is about 704.1930105259.

The spelling of 349200720 in words is "three hundred forty-nine million, two hundred thousand, seven hundred twenty".