345900016 has 120 divisors (see below), whose sum is σ = 895656960. Its totient is φ = 127612800.

The previous prime is 345899987. The next prime is 345900031. The reversal of 345900016 is 610009543.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162801 + ... + 164911.

It is an arithmetic number, because the mean of its divisors is an integer number (7463808).

Almost surely, 2^345900016 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 345900016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447828480).

345900016 is an abundant number, since it is smaller than the sum of its proper divisors (549756944).

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

345900016 is a wasteful number, since it uses less digits than its factorization.

345900016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 345900016 is about 18598.3874569813. The cubic root of 345900016 is about 701.9672660554.

Adding to 345900016 its reverse (610009543), we get a palindrome (955909559).

The spelling of 345900016 in words is "three hundred forty-five million, nine hundred thousand, sixteen".