3358744533144 has 1024 divisors, whose sum is σ = 13294123315200. Its totient is φ = 756183859200.

The previous prime is 3358744533139. The next prime is 3358744533149. The reversal of 3358744533144 is 4413354478533.

3358744533144 is a `hidden beast` number, since 3 + 3 + 58 + 7 + 44 + 533 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3358744533139) and next prime (3358744533149).

It is a super-2 number, since 2×3358744533144² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3358744533149) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2267888884 + ... + 2267890364.

It is an arithmetic number, because the mean of its divisors is an integer number (12982542300).

Almost surely, 2^{3358744533144} is an apocalyptic number.

3358744533144 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 3358744533144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647061657600).

3358744533144 is an abundant number, since it is smaller than the sum of its proper divisors (9935378782056).

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

3358744533144 is a wasteful number, since it uses less digits than its factorization.

3358744533144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2151 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 54.

The spelling of 3358744533144 in words is "three trillion, three hundred fifty-eight billion, seven hundred forty-four million, five hundred thirty-three thousand, one hundred forty-four".