3145048320 has 144 divisors (see below), whose sum is σ = 10125158400. Its totient is φ = 831946752.

The previous prime is 3145048307. The next prime is 3145048327. The reversal of 3145048320 is 238405413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3145048327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484456 + ... + 490904.

It is an arithmetic number, because the mean of its divisors is an integer number (70313600).

Almost surely, 2^3145048320 is an apocalyptic number.

3145048320 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 3145048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062579200).

3145048320 is an abundant number, since it is smaller than the sum of its proper divisors (6980110080).

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

3145048320 is a wasteful number, since it uses less digits than its factorization.

3145048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6600 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3145048320 is about 56080.7303804079. The cubic root of 3145048320 is about 1465.1286945228.

The spelling of 3145048320 in words is "three billion, one hundred forty-five million, forty-eight thousand, three hundred twenty".