342386161920 has 576 divisors, whose sum is σ = 1328273614080. Its totient is φ = 82826035200.

The previous prime is 342386161919. The next prime is 342386161921. The reversal of 342386161920 is 29161683243.

342386161920 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 8 + 6 + 1 + 619 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (342386161919) and next prime (342386161921).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (342386161921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312110812 + ... + 312111908.

It is an arithmetic number, because the mean of its divisors is an integer number (2306030580).

Almost surely, 2^342386161920 is an apocalyptic number.

342386161920 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 342386161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664136807040).

342386161920 is an abundant number, since it is smaller than the sum of its proper divisors (985887452160).

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

342386161920 is a wasteful number, since it uses less digits than its factorization.

342386161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 342386161920 in words is "three hundred forty-two billion, three hundred eighty-six million, one hundred sixty-one thousand, nine hundred twenty".