345005165400 has 384 divisors, whose sum is σ = 1290554304000. Its totient is φ = 74480394240.

The previous prime is 345005165387. The next prime is 345005165431. The reversal of 345005165400 is 4561500543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26886186 + ... + 26899014.

It is an arithmetic number, because the mean of its divisors is an integer number (3360818500).

Almost surely, 2^345005165400 is an apocalyptic number.

345005165400 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 345005165400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645277152000).

345005165400 is an abundant number, since it is smaller than the sum of its proper divisors (945549138600).

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

345005165400 is a wasteful number, since it uses less digits than its factorization.

345005165400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13211 (or 13202 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 345005165400 its reverse (4561500543), we get a palindrome (349566665943).

The spelling of 345005165400 in words is "three hundred forty-five billion, five million, one hundred sixty-five thousand, four hundred".