346642482420 has 960 divisors, whose sum is σ = 1318571654400. Its totient is φ = 75306516480.

The previous prime is 346642482409. The next prime is 346642482427. The reversal of 346642482420 is 24284246643.

346642482420 is a `hidden beast` number, since 34 + 66 + 42 + 482 + 42 + 0 = 666.

It is a super-3 number, since 3×346642482420³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346642482427) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 891111586 + ... + 891111974.

It is an arithmetic number, because the mean of its divisors is an integer number (1373512140).

Almost surely, 2^346642482420 is an apocalyptic number.

346642482420 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 346642482420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659285827200).

346642482420 is an abundant number, since it is smaller than the sum of its proper divisors (971929171980).

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

346642482420 is a wasteful number, since it uses less digits than its factorization.

346642482420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 346642482420 in words is "three hundred forty-six billion, six hundred forty-two million, four hundred eighty-two thousand, four hundred twenty".