342975409920 has 1296 divisors, whose sum is σ = 1458781754976. Its totient is φ = 76640256000.

The previous prime is 342975409891. The next prime is 342975409949. The reversal of 342975409920 is 29904579243.

342975409920 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 7 + 540 + 9 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (342975409891) and next prime (342975409949).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 489265570 + ... + 489266270.

It is an arithmetic number, because the mean of its divisors is an integer number (1125603206).

Almost surely, 2^342975409920 is an apocalyptic number.

342975409920 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 342975409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729390877488).

342975409920 is an abundant number, since it is smaller than the sum of its proper divisors (1115806345056).

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

342975409920 is a wasteful number, since it uses less digits than its factorization.

342975409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 342975409920 in words is "three hundred forty-two billion, nine hundred seventy-five million, four hundred nine thousand, nine hundred twenty".