3441637638144 has 960 divisors, whose sum is σ = 11460166502400. Its totient is φ = 1015478747136.

The previous prime is 3441637638113. The next prime is 3441637638199. The reversal of 3441637638144 is 4418367361443.

3441637638144 is a `hidden beast` number, since 3 + 441 + 63 + 7 + 63 + 81 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9377759049 + ... + 9377759415.

It is an arithmetic number, because the mean of its divisors is an integer number (11937673440).

Almost surely, 2^{3441637638144} is an apocalyptic number.

3441637638144 is a gapful number since it is divisible by the number (34) 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 3441637638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730083251200).

3441637638144 is an abundant number, since it is smaller than the sum of its proper divisors (8018528864256).

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

3441637638144 is a wasteful number, since it uses less digits than its factorization.

3441637638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 461 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 3441637638144 in words is "three trillion, four hundred forty-one billion, six hundred thirty-seven million, six hundred thirty-eight thousand, one hundred forty-four".