340510561776 has 480 divisors, whose sum is σ = 1237520793600. Its totient is φ = 88055735040.

The previous prime is 340510561771. The next prime is 340510561789. The reversal of 340510561776 is 677165015043.

340510561776 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 10 + 561 + 7 + 76 = 666.

It is a super-2 number, since 2×340510561776² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340510561771) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 71548485 + ... + 71553243.

It is an arithmetic number, because the mean of its divisors is an integer number (2578168320).

Almost surely, 2^340510561776 is an apocalyptic number.

340510561776 is a gapful number since it is divisible by the number (36) 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 340510561776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618760396800).

340510561776 is an abundant number, since it is smaller than the sum of its proper divisors (897010231824).

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

340510561776 is a wasteful number, since it uses less digits than its factorization.

340510561776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 340510561776 in words is "three hundred forty billion, five hundred ten million, five hundred sixty-one thousand, seven hundred seventy-six".