345662101400 has 288 divisors, whose sum is σ = 1021980214080. Its totient is φ = 107515296000.

The previous prime is 345662101381. The next prime is 345662101423. The reversal of 345662101400 is 4101266543.

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 71 ways as a sum of consecutive naturals, for example, 56376335 + ... + 56382465.

It is an arithmetic number, because the mean of its divisors is an integer number (3548542410).

Almost surely, 2^345662101400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345662101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510990107040).

345662101400 is an abundant number, since it is smaller than the sum of its proper divisors (676318112680).

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

345662101400 is a wasteful number, since it uses less digits than its factorization.

345662101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6695 (or 6679 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 345662101400 its reverse (4101266543), we get a palindrome (349763367943).

The spelling of 345662101400 in words is "three hundred forty-five billion, six hundred sixty-two million, one hundred one thousand, four hundred".