340438560 has 384 divisors, whose sum is σ = 1367912448. Its totient is φ = 69120000.

The previous prime is 340438543. The next prime is 340438597. The reversal of 340438560 is 65834043.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2254485 + ... + 2254635.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^340438560 is an apocalyptic number.

340438560 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 340438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683956224).

340438560 is an abundant number, since it is smaller than the sum of its proper divisors (1027473888).

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

340438560 is a wasteful number, since it uses less digits than its factorization.

340438560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 340438560 is about 18450.9772098932. The cubic root of 340438560 is about 698.2531682626.

The spelling of 340438560 in words is "three hundred forty million, four hundred thirty-eight thousand, five hundred sixty".