349626420 has 432 divisors, whose sum is σ = 1351703808. Its totient is φ = 72069120.

The previous prime is 349626383. The next prime is 349626439. The reversal of 349626420 is 24626943.

349626420 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 2 + 642 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7438837 + ... + 7438883.

It is an arithmetic number, because the mean of its divisors is an integer number (3128944).

Almost surely, 2^349626420 is an apocalyptic number.

349626420 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 349626420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675851904).

349626420 is an abundant number, since it is smaller than the sum of its proper divisors (1002077388).

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

349626420 is a wasteful number, since it uses less digits than its factorization.

349626420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 349626420 is about 18698.2999227202. The cubic root of 349626420 is about 704.4790477668.

The spelling of 349626420 in words is "three hundred forty-nine million, six hundred twenty-six thousand, four hundred twenty".