346336625220 has 192 divisors, whose sum is σ = 1072002387456. Its totient is φ = 83099934720.

The previous prime is 346336625213. The next prime is 346336625233. The reversal of 346336625220 is 22526633643.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 71245590 + ... + 71250450.

It is an arithmetic number, because the mean of its divisors is an integer number (5583345768).

Almost surely, 2^346336625220 is an apocalyptic number.

346336625220 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 346336625220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536001193728).

346336625220 is an abundant number, since it is smaller than the sum of its proper divisors (725665762236).

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

346336625220 is a wasteful number, since it uses less digits than its factorization.

346336625220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7950 (or 7948 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 42.

The spelling of 346336625220 in words is "three hundred forty-six billion, three hundred thirty-six million, six hundred twenty-five thousand, two hundred twenty".