342775601280 has 2048 divisors, whose sum is σ = 1562803200000. Its totient is φ = 69227053056.

The previous prime is 342775601269. The next prime is 342775601293. The reversal of 342775601280 is 82106577243.

342775601280 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 7 + 560 + 1 + 2 + 80 = 666.

It is a super-2 number, since 2×342775601280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2466011451 + ... + 2466011589.

It is an arithmetic number, because the mean of its divisors is an integer number (763087500).

Almost surely, 2^342775601280 is an apocalyptic number.

342775601280 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 342775601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781401600000).

342775601280 is an abundant number, since it is smaller than the sum of its proper divisors (1220027598720).

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

342775601280 is a wasteful number, since it uses less digits than its factorization.

342775601280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 342775601280 in words is "three hundred forty-two billion, seven hundred seventy-five million, six hundred one thousand, two hundred eighty".