3145344000 has 176 divisors, whose sum is σ = 10463870976. Its totient is φ = 838656000.

The previous prime is 3145343983. The next prime is 3145344017. The reversal of 3145344000 is 4435413.

It is an interprime number because it is at equal distance from previous prime (3145343983) and next prime (3145344017).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 379905 + ... + 388095.

Almost surely, 2^3145344000 is an apocalyptic number.

3145344000 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 3145344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5231935488).

3145344000 is an abundant number, since it is smaller than the sum of its proper divisors (7318526976).

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

3145344000 is an equidigital number, since it uses as much as digits as its factorization.

3145344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3145344000 is about 56083.3665180684. The cubic root of 3145344000 is about 1465.1746075087.

Adding to 3145344000 its reverse (4435413), we get a palindrome (3149779413).

The spelling of 3145344000 in words is "three billion, one hundred forty-five million, three hundred forty-four thousand".