345206784 has 104 divisors (see below), whose sum is σ = 991700752. Its totient is φ = 106168320.

The previous prime is 345206783. The next prime is 345206803. The reversal of 345206784 is 487602543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (104).

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 (345206783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158664 + ... + 160824.

Almost surely, 2^345206784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345206784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495850376).

345206784 is an abundant number, since it is smaller than the sum of its proper divisors (646493968).

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

345206784 is a wasteful number, since it uses less digits than its factorization.

345206784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 345206784 is about 18579.7412253239. The cubic root of 345206784 is about 701.4980055748.

The spelling of 345206784 in words is "three hundred forty-five million, two hundred six thousand, seven hundred eighty-four".