340290720 has 720 divisors, whose sum is σ = 1557287424. Its totient is φ = 68428800.

The previous prime is 340290677. The next prime is 340290721. The reversal of 340290720 is 27092043.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340290721) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10977105 + ... + 10977135.

Almost surely, 2^340290720 is an apocalyptic number.

340290720 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 340290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778643712).

340290720 is an abundant number, since it is smaller than the sum of its proper divisors (1216996704).

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

340290720 is a wasteful number, since it uses less digits than its factorization.

340290720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 340290720 is about 18446.9704829818. The cubic root of 340290720 is about 698.1520783675.

The spelling of 340290720 in words is "three hundred forty million, two hundred ninety thousand, seven hundred twenty".