3444330440340 has 72 divisors (see below), whose sum is σ = 10603739721120. Its totient is φ = 904779336384.

The previous prime is 3444330440339. The next prime is 3444330440351. The reversal of 3444330440340 is 430440334443.

3444330440340 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 3 + 304 + 4 + 0 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3444330440295 and 3444330440304.

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, 142787710 + ... + 142811829.

Almost surely, 2^{3444330440340} is an apocalyptic number.

3444330440340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3444330440340 is an abundant number, since it is smaller than the sum of its proper divisors (7159409280780).

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

3444330440340 is a wasteful number, since it uses less digits than its factorization.

3444330440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285599621 (or 285599616 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 3444330440340 its reverse (430440334443), we get a palindrome (3874770774783).

The spelling of 3444330440340 in words is "three trillion, four hundred forty-four billion, three hundred thirty million, four hundred forty thousand, three hundred forty".