342845792640 has 512 divisors, whose sum is σ = 1324270080000. Its totient is φ = 83320233984.

The previous prime is 342845792609. The next prime is 342845792647. The reversal of 342845792640 is 46297548243.

It is a happy number.

342845792640 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 4 + 579 + 2 + 64 + 0 = 666.

It is a super-4 number, since 4×342845792640⁴ (a number of 47 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342845792647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17736901 + ... + 17756219.

It is an arithmetic number, because the mean of its divisors is an integer number (2586465000).

Almost surely, 2^342845792640 is an apocalyptic number.

342845792640 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 342845792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662135040000).

342845792640 is an abundant number, since it is smaller than the sum of its proper divisors (981424287360).

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

342845792640 is a wasteful number, since it uses less digits than its factorization.

342845792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19439 (or 19421 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 342845792640 in words is "three hundred forty-two billion, eight hundred forty-five million, seven hundred ninety-two thousand, six hundred forty".