346221625050 has 432 divisors, whose sum is σ = 1125090177120. Its totient is φ = 78927488640.

The previous prime is 346221625019. The next prime is 346221625063. The reversal of 346221625050 is 50526122643.

346221625050 is a `hidden beast` number, since 3 + 4 + 6 + 2 + 21 + 625 + 0 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 346221624996 and 346221625014.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 403051521 + ... + 403052379.

It is an arithmetic number, because the mean of its divisors is an integer number (2604375410).

Almost surely, 2^346221625050 is an apocalyptic number.

346221625050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 346221625050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562545088560).

346221625050 is an abundant number, since it is smaller than the sum of its proper divisors (778868552070).

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

346221625050 is a wasteful number, since it uses less digits than its factorization.

346221625050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 346221625050 its reverse (50526122643), we get a palindrome (396747747693).

The spelling of 346221625050 in words is "three hundred forty-six billion, two hundred twenty-one million, six hundred twenty-five thousand, fifty".