340381440 has 540 divisors, whose sum is σ = 1437941736. Its totient is φ = 76640256.

The previous prime is 340381427. The next prime is 340381451. The reversal of 340381440 is 44183043.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 5080287 + ... + 5080353.

Almost surely, 2^340381440 is an apocalyptic number.

340381440 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 340381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718970868).

340381440 is an abundant number, since it is smaller than the sum of its proper divisors (1097560296).

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

340381440 is an equidigital number, since it uses as much as digits as its factorization.

340381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 340381440 is about 18449.4292594649. The cubic root of 340381440 is about 698.2141142731.

The spelling of 340381440 in words is "three hundred forty million, three hundred eighty-one thousand, four hundred forty".