340731606924288 has 352 divisors, whose sum is σ = 1054493097072640. Its totient is φ = 109913399193600.

The previous prime is 340731606924251. The next prime is 340731606924299. The reversal of 340731606924288 is 882429606137043.

340731606924288 is a `hidden beast` number, since 3 + 40 + 7 + 3 + 160 + 6 + 9 + 2 + 428 + 8 = 666.

It is a super-2 number, since 2×340731606924288² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66970143 + ... + 71878113.

Almost surely, 2^{340731606924288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340731606924288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527246548536320).

340731606924288 is an abundant number, since it is smaller than the sum of its proper divisors (713761490148352).

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

340731606924288 is an frugal number, since it uses more digits than its factorization.

340731606924288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908043 (or 4908007 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 340731606924288 in words is "three hundred forty trillion, seven hundred thirty-one billion, six hundred six million, nine hundred twenty-four thousand, two hundred eighty-eight".