340488437760 has 900 divisors, whose sum is σ = 1289212503348. Its totient is φ = 85953871872.

The previous prime is 340488437759. The next prime is 340488437819. The reversal of 340488437760 is 67734884043.

340488437760 is a `hidden beast` number, since 34 + 0 + 488 + 4 + 3 + 77 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137599451136 + 202888986624 = 370944^2 + 450432^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 340488437697 and 340488437706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3510190032 + ... + 3510190128.

Almost surely, 2^340488437760 is an apocalyptic number.

340488437760 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 340488437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644606251674).

340488437760 is an abundant number, since it is smaller than the sum of its proper divisors (948724065588).

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

340488437760 is an frugal number, since it uses more digits than its factorization.

340488437760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 340488437760 in words is "three hundred forty billion, four hundred eighty-eight million, four hundred thirty-seven thousand, seven hundred sixty".