342114769920 has 1584 divisors, whose sum is σ = 1468206393984. Its totient is φ = 67195699200.

The previous prime is 342114769907. The next prime is 342114769933. The reversal of 342114769920 is 29967411243.

It is an interprime number because it is at equal distance from previous prime (342114769907) and next prime (342114769933).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 342114769920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7956157419 + ... + 7956157461.

It is an arithmetic number, because the mean of its divisors is an integer number (926897976).

Almost surely, 2^342114769920 is an apocalyptic number.

342114769920 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 342114769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734103196992).

342114769920 is an abundant number, since it is smaller than the sum of its proper divisors (1126091624064).

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

342114769920 is a wasteful number, since it uses less digits than its factorization.

342114769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 342114769920 in words is "three hundred forty-two billion, one hundred fourteen million, seven hundred sixty-nine thousand, nine hundred twenty".