346142742865920 has 4608 divisors, whose sum is σ = 1672777051545600. Its totient is φ = 63883601510400.

The previous prime is 346142742865901. The next prime is 346142742865951. The reversal of 346142742865920 is 29568247241643.

346142742865920 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 427 + 42 + 86 + 5 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×346142742865920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 281645843866 + ... + 281645845094.

It is an arithmetic number, because the mean of its divisors is an integer number (363015853200).

It is a 3-persistent number, because k⋅346142742865920 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{346142742865920} is an apocalyptic number.

346142742865920 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 346142742865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836388525772800).

346142742865920 is an abundant number, since it is smaller than the sum of its proper divisors (1326634308679680).

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

346142742865920 is a wasteful number, since it uses less digits than its factorization.

346142742865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 346142742865920 in words is "three hundred forty-six trillion, one hundred forty-two billion, seven hundred forty-two million, eight hundred sixty-five thousand, nine hundred twenty".