342036754560 has 192 divisors, whose sum is σ = 1181733560280. Its totient is φ = 91160543232.

The previous prime is 342036754519. The next prime is 342036754561. The reversal of 342036754560 is 65457630243.

342036754560 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 36 + 7 + 54 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114141271104 + 227895483456 = 337848^2 + 477384^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (342036754561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11349432 + ... + 11379528.

Almost surely, 2^342036754560 is an apocalyptic number.

342036754560 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 342036754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590866780140).

342036754560 is an abundant number, since it is smaller than the sum of its proper divisors (839696805720).

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

342036754560 is a wasteful number, since it uses less digits than its factorization.

342036754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32095 (or 32080 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 342036754560 in words is "three hundred forty-two billion, thirty-six million, seven hundred fifty-four thousand, five hundred sixty".