349476120 has 320 divisors, whose sum is σ = 1414828800. Its totient is φ = 75582720.

The previous prime is 349476119. The next prime is 349476131. The reversal of 349476120 is 21674943.

349476120 is a `hidden beast` number, since 34 + 9 + 4 + 7 + 612 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430515 + ... + 431325.

It is an arithmetic number, because the mean of its divisors is an integer number (4421340).

Almost surely, 2^349476120 is an apocalyptic number.

349476120 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 349476120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707414400).

349476120 is an abundant number, since it is smaller than the sum of its proper divisors (1065352680).

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

349476120 is a wasteful number, since it uses less digits than its factorization.

349476120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 349476120 is about 18694.2804087239. The cubic root of 349476120 is about 704.3780844042.

The spelling of 349476120 in words is "three hundred forty-nine million, four hundred seventy-six thousand, one hundred twenty".