342344001120 has 192 divisors, whose sum is σ = 1178677350144. Its totient is φ = 82833131520.

The previous prime is 342344001091. The next prime is 342344001149. The reversal of 342344001120 is 21100443243.

It is an interprime number because it is at equal distance from previous prime (342344001091) and next prime (342344001149).

It is a super-2 number, since 2×342344001120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2699454 + ... + 2823426.

It is an arithmetic number, because the mean of its divisors is an integer number (6138944532).

Almost surely, 2^342344001120 is an apocalyptic number.

342344001120 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 342344001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589338675072).

342344001120 is an abundant number, since it is smaller than the sum of its proper divisors (836333349024).

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

342344001120 is a wasteful number, since it uses less digits than its factorization.

342344001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124525 (or 124517 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 342344001120 its reverse (21100443243), we get a palindrome (363444444363).

The spelling of 342344001120 in words is "three hundred forty-two billion, three hundred forty-four million, one thousand, one hundred twenty".