340880866560 has 2304 divisors, whose sum is σ = 1520539776000. Its totient is φ = 72236924928.

The previous prime is 340880866549. The next prime is 340880866609. The reversal of 340880866560 is 65668088043.

It is a tau number, because it is divible by the number of its divisors (2304).

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 = 340880866497 and 340880866506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11754512626 + ... + 11754512654.

It is an arithmetic number, because the mean of its divisors is an integer number (659956500).

Almost surely, 2^340880866560 is an apocalyptic number.

340880866560 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 340880866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760269888000).

340880866560 is an abundant number, since it is smaller than the sum of its proper divisors (1179658909440).

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

340880866560 is a wasteful number, since it uses less digits than its factorization.

340880866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 340880866560 in words is "three hundred forty billion, eight hundred eighty million, eight hundred sixty-six thousand, five hundred sixty".