3444381420480 has 3584 divisors, whose sum is σ = 17460972748800. Its totient is φ = 615908966400.

The previous prime is 3444381420463. The next prime is 3444381420503. The reversal of 3444381420480 is 840241834443.

3444381420480 is a `hidden beast` number, since 3 + 4 + 4 + 438 + 1 + 4 + 204 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7775127139 + ... + 7775127581.

It is an arithmetic number, because the mean of its divisors is an integer number (4871923200).

Almost surely, 2^{3444381420480} is an apocalyptic number.

3444381420480 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 3444381420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8730486374400).

3444381420480 is an abundant number, since it is smaller than the sum of its proper divisors (14016591328320).

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

3444381420480 is a wasteful number, since it uses less digits than its factorization.

3444381420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 3444381420480 in words is "three trillion, four hundred forty-four billion, three hundred eighty-one million, four hundred twenty thousand, four hundred eighty".