345403401000 has 256 divisors, whose sum is σ = 1256748480000. Its totient is φ = 78949113600.

The previous prime is 345403400981. The next prime is 345403401017. The reversal of 345403401000 is 104304543.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 861166 + ... + 1196834.

It is an arithmetic number, because the mean of its divisors is an integer number (4909173750).

Almost surely, 2^345403401000 is an apocalyptic number.

345403401000 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 345403401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628374240000).

345403401000 is an abundant number, since it is smaller than the sum of its proper divisors (911345079000).

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

345403401000 is a wasteful number, since it uses less digits than its factorization.

345403401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335714 (or 335686 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 345403401000 its reverse (104304543), we get a palindrome (345507705543).

The spelling of 345403401000 in words is "three hundred forty-five billion, four hundred three million, four hundred one thousand".