343786320 has 90 divisors (see below), whose sum is σ = 1156222314. Its totient is φ = 91543680.

The previous prime is 343786319. The next prime is 343786363. The reversal of 343786320 is 23687343.

It can be written as a sum of positive squares in only one way, i.e., 275029056 + 68757264 = 16584^2 + 8292^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 497175 + ... + 497865.

Almost surely, 2^343786320 is an apocalyptic number.

343786320 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 343786320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578111157).

343786320 is an abundant number, since it is smaller than the sum of its proper divisors (812435994).

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

343786320 is an equidigital number, since it uses as much as digits as its factorization.

343786320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 343786320 is about 18541.4756694283. The cubic root of 343786320 is about 700.5345033267.

The spelling of 343786320 in words is "three hundred forty-three million, seven hundred eighty-six thousand, three hundred twenty".