354018816 has 80 divisors (see below), whose sum is σ = 1047961200. Its totient is φ = 118001664.

The previous prime is 354018803. The next prime is 354018817. The reversal of 354018816 is 618810453.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354018817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1020 + ... + 26628.

It is an arithmetic number, because the mean of its divisors is an integer number (13099515).

Almost surely, 2^354018816 is an apocalyptic number.

354018816 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 354018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523980600).

354018816 is an abundant number, since it is smaller than the sum of its proper divisors (693942384).

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

354018816 is an equidigital number, since it uses as much as digits as its factorization.

354018816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25636 (or 25614 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 354018816 is about 18815.3877451409. The cubic root of 354018816 is about 707.4169287358.

Adding to 354018816 its product of nonzero digits (23040), we get a square (354041856 = 18816²).

The spelling of 354018816 in words is "three hundred fifty-four million, eighteen thousand, eight hundred sixteen".