340878720 has 256 divisors, whose sum is σ = 1337978880. Its totient is φ = 71884800.

The previous prime is 340878701. The next prime is 340878721. The reversal of 340878720 is 27878043.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340878721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173745 + ... + 175695.

It is an arithmetic number, because the mean of its divisors is an integer number (5226480).

Almost surely, 2^340878720 is an apocalyptic number.

340878720 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 340878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668989440).

340878720 is an abundant number, since it is smaller than the sum of its proper divisors (997100160).

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

340878720 is a wasteful number, since it uses less digits than its factorization.

340878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 340878720 is about 18462.9011804754. The cubic root of 340878720 is about 698.5539672798.

It can be divided in two parts, 3408 and 78720, that added together give a palindrome (82128).

The spelling of 340878720 in words is "three hundred forty million, eight hundred seventy-eight thousand, seven hundred twenty".