3349145448 has 192 divisors, whose sum is σ = 10316544000. Its totient is φ = 1005903360.

The previous prime is 3349145441. The next prime is 3349145453. The reversal of 3349145448 is 8445419433.

It is a super-2 number, since 2×3349145448² = 22433550463718241408, which contains 22 as substring.

Its product of digits (829440) is a multiple of the sum of its prime divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (3349145441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3318768 + ... + 3319776.

It is an arithmetic number, because the mean of its divisors is an integer number (53732000).

Almost surely, 2^3349145448 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 3349145448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158272000).

3349145448 is an abundant number, since it is smaller than the sum of its proper divisors (6967398552).

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

3349145448 is a wasteful number, since it uses less digits than its factorization.

3349145448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1152 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 3349145448 is about 57871.8018382010. The cubic root of 3349145448 is about 1496.1598733409.

The spelling of 3349145448 in words is "three billion, three hundred forty-nine million, one hundred forty-five thousand, four hundred forty-eight".