340086816 has 96 divisors (see below), whose sum is σ = 998282880. Its totient is φ = 112635648.

The previous prime is 340086749. The next prime is 340086829. The reversal of 340086816 is 618680043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143110 + ... + 145466.

It is an arithmetic number, because the mean of its divisors is an integer number (10398780).

Almost surely, 2^340086816 is an apocalyptic number.

340086816 is a gapful number since it is divisible by the number (36) 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 340086816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499141440).

340086816 is an abundant number, since it is smaller than the sum of its proper divisors (658196064).

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

340086816 is a wasteful number, since it uses less digits than its factorization.

340086816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 340086816 is about 18441.4428936567. The cubic root of 340086816 is about 698.0126050329.

The spelling of 340086816 in words is "three hundred forty million, eighty-six thousand, eight hundred sixteen".