3446790144 has 216 divisors, whose sum is σ = 10790308620. Its totient is φ = 975593472.

The previous prime is 3446790101. The next prime is 3446790161. The reversal of 3446790144 is 4410976443.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3446790096 and 3446790105.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 32212939 + ... + 32213045.

Almost surely, 2^3446790144 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 3446790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395154310).

3446790144 is an abundant number, since it is smaller than the sum of its proper divisors (7343518476).

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

3446790144 is an equidigital number, since it uses as much as digits as its factorization.

3446790144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3446790144 is about 58709.3701550272. The cubic root of 3446790144 is about 1510.5610452622.

The spelling of 3446790144 in words is "three billion, four hundred forty-six million, seven hundred ninety thousand, one hundred forty-four".