346251420 has 72 divisors (see below), whose sum is σ = 1054347840. Its totient is φ = 91977600.

The previous prime is 346251413. The next prime is 346251449. The reversal of 346251420 is 24152643.

346251420 is a `hidden beast` number, since 3 + 4 + 625 + 14 + 20 = 666.

346251420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44845 + ... + 51995.

It is an arithmetic number, because the mean of its divisors is an integer number (14643720).

Almost surely, 2^346251420 is an apocalyptic number.

346251420 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 346251420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527173920).

346251420 is an abundant number, since it is smaller than the sum of its proper divisors (708096420).

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

346251420 is a wasteful number, since it uses less digits than its factorization.

346251420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7435 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 346251420 is about 18607.8322219435. The cubic root of 346251420 is about 702.2048979411.

The spelling of 346251420 in words is "three hundred forty-six million, two hundred fifty-one thousand, four hundred twenty".