346440813642 has 160 divisors (see below), whose sum is σ = 968284437120. Its totient is φ = 89942814720.

The previous prime is 346440813629. The next prime is 346440813673. The reversal of 346440813642 is 246318044643.

346440813642 is a `hidden beast` number, since 3 + 464 + 40 + 81 + 36 + 42 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34036458 + ... + 34046634.

It is an arithmetic number, because the mean of its divisors is an integer number (6051777732).

Almost surely, 2^346440813642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346440813642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484142218560).

346440813642 is an abundant number, since it is smaller than the sum of its proper divisors (621843623478).

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

346440813642 is a wasteful number, since it uses less digits than its factorization.

346440813642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12938 (or 12929 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 346440813642 in words is "three hundred forty-six billion, four hundred forty million, eight hundred thirteen thousand, six hundred forty-two".