349150620 has 144 divisors (see below), whose sum is σ = 1210083840. Its totient is φ = 73651968.

The previous prime is 349150597. The next prime is 349150651. The reversal of 349150620 is 26051943.

It is a super-4 number, since 4×349150620⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68521 + ... + 73439.

It is an arithmetic number, because the mean of its divisors is an integer number (8403360).

Almost surely, 2^349150620 is an apocalyptic number.

349150620 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 349150620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605041920).

349150620 is an abundant number, since it is smaller than the sum of its proper divisors (860933220).

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

349150620 is a wasteful number, since it uses less digits than its factorization.

349150620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 349150620 is about 18685.5725092918. The cubic root of 349150620 is about 704.1593319420.

The spelling of 349150620 in words is "three hundred forty-nine million, one hundred fifty thousand, six hundred twenty".