345444403644 has 84 divisors (see below), whose sum is σ = 906682979160. Its totient is φ = 115109255520.

The previous prime is 345444403597. The next prime is 345444403651. The reversal of 345444403644 is 446304444543.

345444403644 is a `hidden beast` number, since 3 + 4 + 544 + 4 + 40 + 3 + 64 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 345444403644.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9374047 + ... + 9410825.

It is an arithmetic number, because the mean of its divisors is an integer number (10793844990).

Almost surely, 2^345444403644 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 345444403644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453341489580).

345444403644 is an abundant number, since it is smaller than the sum of its proper divisors (561238575516).

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

345444403644 is a wasteful number, since it uses less digits than its factorization.

345444403644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40022 (or 40005 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 45.

The spelling of 345444403644 in words is "three hundred forty-five billion, four hundred forty-four million, four hundred three thousand, six hundred forty-four".