342981505278720 has 3456 divisors, whose sum is σ = 1574085268094976. Its totient is φ = 66886041600000.

The previous prime is 342981505278719. The next prime is 342981505278721. The reversal of 342981505278720 is 27872505189243.

342981505278720 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 8 + 1 + 5 + 0 + 527 + 87 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (342981505278719) and next prime (342981505278721).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (342981505278721) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 122449661320 + ... + 122449664120.

It is an arithmetic number, because the mean of its divisors is an integer number (455464487296).

Almost surely, 2^{342981505278720} is an apocalyptic number.

342981505278720 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 342981505278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787042634047488).

342981505278720 is an abundant number, since it is smaller than the sum of its proper divisors (1231103762816256).

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

342981505278720 is a wasteful number, since it uses less digits than its factorization.

342981505278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 342981505278720 in words is "three hundred forty-two trillion, nine hundred eighty-one billion, five hundred five million, two hundred seventy-eight thousand, seven hundred twenty".