346821420 has 96 divisors (see below), whose sum is σ = 1121734656. Its totient is φ = 79129600.

The previous prime is 346821389. The next prime is 346821427. The reversal of 346821420 is 24128643.

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

It is not an unprimeable number, because it can be changed into a prime (346821427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4236 + ... + 26675.

It is an arithmetic number, because the mean of its divisors is an integer number (11684736).

Almost surely, 2^346821420 is an apocalyptic number.

346821420 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 346821420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560867328).

346821420 is an abundant number, since it is smaller than the sum of its proper divisors (774913236).

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

346821420 is a wasteful number, since it uses less digits than its factorization.

346821420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30951 (or 30949 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 346821420 is about 18623.1420549809. The cubic root of 346821420 is about 702.5900105450.

The spelling of 346821420 in words is "three hundred forty-six million, eight hundred twenty-one thousand, four hundred twenty".