342828227911680 has 672 divisors, whose sum is σ = 1429652717625600. Its totient is φ = 74236477833216.

The previous prime is 342828227911651. The next prime is 342828227911751. The reversal of 342828227911680 is 86119722828243.

342828227911680 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 282 + 279 + 1 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45532951 + ... + 52525289.

Almost surely, 2^{342828227911680} is an apocalyptic number.

342828227911680 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 342828227911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714826358812800).

342828227911680 is an abundant number, since it is smaller than the sum of its proper divisors (1086824489713920).

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

342828227911680 is a wasteful number, since it uses less digits than its factorization.

342828227911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6992402 (or 6992375 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 342828227911680 in words is "three hundred forty-two trillion, eight hundred twenty-eight billion, two hundred twenty-seven million, nine hundred eleven thousand, six hundred eighty".