354111300 has 108 divisors (see below), whose sum is σ = 1113561540. Its totient is φ = 94122240.

The previous prime is 354111269. The next prime is 354111313. The reversal of 354111300 is 3111453.

354111300 is a `hidden beast` number, since 354 + 1 + 11 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19660356 + 334450944 = 4434^2 + 18288^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 457714 + ... + 458486.

It is an arithmetic number, because the mean of its divisors is an integer number (10310755).

Almost surely, 2^354111300 is an apocalyptic number.

354111300 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 354111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556780770).

354111300 is an abundant number, since it is smaller than the sum of its proper divisors (759450240).

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

354111300 is a wasteful number, since it uses less digits than its factorization.

354111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 354111300 is about 18817.8452539073. The cubic root of 354111300 is about 707.4785253214.

Adding to 354111300 its reverse (3111453), we get a palindrome (357222753).

It can be divided in two parts, 3541 and 11300, that added together give a palindrome (14841).

The spelling of 354111300 in words is "three hundred fifty-four million, one hundred eleven thousand, three hundred".