340280888896 has 189 divisors, whose sum is σ = 751132223793. Its totient is φ = 152880698880.

The previous prime is 340280888839. The next prime is 340280888989. The reversal of 340280888896 is 698888082043.

The square root of 340280888896 is 583336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50337409600 + 289943479296 = 224360^2 + 538464^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4307352985 + ... + 4307353063.

Almost surely, 2^340280888896 is an apocalyptic number.

340280888896 is the 583336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340280888896

340280888896 is an abundant number, since it is smaller than the sum of its proper divisors (410851334897).

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

340280888896 is an frugal number, since it uses more digits than its factorization.

340280888896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 64.

Multiplying 340280888896 by its sum of digits (64), we get a square (21777976889344 = 4666688²).

340280888896 divided by its sum of digits (64) gives a square (5316888889 = 72917²).

The spelling of 340280888896 in words is "three hundred forty billion, two hundred eighty million, eight hundred eighty-eight thousand, eight hundred ninety-six".