3448008144 has 120 divisors (see below), whose sum is σ = 11215264320. Its totient is φ = 968431104.

The previous prime is 3448008143. The next prime is 3448008149. The reversal of 3448008144 is 4418008443.

3448008144 is a `hidden beast` number, since 34 + 480 + 0 + 8 + 144 = 666.

It is a super-2 number, since 2×3448008144² = 23777520322180649472, which contains 22 as substring.

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 = 3448008099 and 3448008108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3448008143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30484 + ... + 88460.

It is an arithmetic number, because the mean of its divisors is an integer number (93460536).

Almost surely, 2^3448008144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3448008144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607632160).

3448008144 is an abundant number, since it is smaller than the sum of its proper divisors (7767256176).

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

3448008144 is a wasteful number, since it uses less digits than its factorization.

3448008144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58057 (or 58048 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 3448008144 is about 58719.7423700070. The cubic root of 3448008144 is about 1510.7389544279.

The spelling of 3448008144 in words is "three billion, four hundred forty-eight million, eight thousand, one hundred forty-four".