3444240614400 has 1056 divisors, whose sum is σ = 13062435617280. Its totient is φ = 888841175040.

The previous prime is 3444240614393. The next prime is 3444240614449. The reversal of 3444240614400 is 44160424443.

3444240614400 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 240 + 6 + 1 + 4 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3151180254 + ... + 3151181346.

Almost surely, 2^{3444240614400} is an apocalyptic number.

3444240614400 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 3444240614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531217808640).

3444240614400 is an abundant number, since it is smaller than the sum of its proper divisors (9618195002880).

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

3444240614400 is a wasteful number, since it uses less digits than its factorization.

3444240614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 3444240614400 in words is "three trillion, four hundred forty-four billion, two hundred forty million, six hundred fourteen thousand, four hundred".