3149245440 has 704 divisors, whose sum is σ = 12969792000. Its totient is φ = 716636160.

The previous prime is 3149245439. The next prime is 3149245447. The reversal of 3149245440 is 445429413.

It is a tau number, because it is divible by the number of its divisors (704).

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 = 3149245395 and 3149245404.

It is not an unprimeable number, because it can be changed into a prime (3149245447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28892106 + ... + 28892214.

It is an arithmetic number, because the mean of its divisors is an integer number (18423000).

Almost surely, 2^3149245440 is an apocalyptic number.

3149245440 is a gapful number since it is divisible by the number (30) 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 3149245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484896000).

3149245440 is an abundant number, since it is smaller than the sum of its proper divisors (9820546560).

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

3149245440 is a wasteful number, since it uses less digits than its factorization.

3149245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3149245440 is about 56118.1382442433. The cubic root of 3149245440 is about 1465.7801511291.

The spelling of 3149245440 in words is "three billion, one hundred forty-nine million, two hundred forty-five thousand, four hundred forty".