3445399783008 has 144 divisors (see below), whose sum is σ = 9849621993120. Its totient is φ = 1142412115968.

The previous prime is 3445399782953. The next prime is 3445399783013. The reversal of 3445399783008 is 8003879935443.

3445399783008 is a `hidden beast` number, since 3 + 4 + 4 + 539 + 97 + 8 + 3 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50090016 + ... + 50158752.

It is an arithmetic number, because the mean of its divisors is an integer number (68400152730).

Almost surely, 2^{3445399783008} 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 3445399783008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924810996560).

3445399783008 is an abundant number, since it is smaller than the sum of its proper divisors (6404222210112).

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

3445399783008 is a wasteful number, since it uses less digits than its factorization.

3445399783008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69669 (or 69658 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 3445399783008 in words is "three trillion, four hundred forty-five billion, three hundred ninety-nine million, seven hundred eighty-three thousand, eight".