342128640 has 384 divisors, whose sum is σ = 1314593280. Its totient is φ = 74317824.

The previous prime is 342128627. The next prime is 342128653. The reversal of 342128640 is 46821243.

It is an interprime number because it is at equal distance from previous prime (342128627) and next prime (342128653).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 342128598 and 342128607.

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, 7956459 + ... + 7956501.

It is an arithmetic number, because the mean of its divisors is an integer number (3423420).

Almost surely, 2^342128640 is an apocalyptic number.

342128640 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 342128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657296640).

342128640 is an abundant number, since it is smaller than the sum of its proper divisors (972464640).

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

342128640 is a wasteful number, since it uses less digits than its factorization.

342128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 342128640 is about 18496.7197091809. The cubic root of 342128640 is about 699.4067354332.

Adding to 342128640 its reverse (46821243), we get a palindrome (388949883).

The spelling of 342128640 in words is "three hundred forty-two million, one hundred twenty-eight thousand, six hundred forty".