345401100 has 216 divisors, whose sum is σ = 1194298560. Its totient is φ = 82800000.

The previous prime is 345401041. The next prime is 345401131. The reversal of 345401100 is 1104543.

It is a happy number.

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

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 71 ways as a sum of consecutive naturals, for example, 1375975 + ... + 1376225.

It is an arithmetic number, because the mean of its divisors is an integer number (5529160).

Almost surely, 2^345401100 is an apocalyptic number.

345401100 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 345401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597149280).

345401100 is an abundant number, since it is smaller than the sum of its proper divisors (848897460).

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

345401100 is a wasteful number, since it uses less digits than its factorization.

345401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 345401100 is about 18584.9697336315. The cubic root of 345401100 is about 701.6296046860.

Adding to 345401100 its reverse (1104543), we get a palindrome (346505643).

The spelling of 345401100 in words is "three hundred forty-five million, four hundred one thousand, one hundred".