3135444000 has 384 divisors, whose sum is σ = 11227507200. Its totient is φ = 760320000.

The previous prime is 3135443959. The next prime is 3135444031. The reversal of 3135444000 is 4445313.

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 63 ways as a sum of consecutive naturals, for example, 15755901 + ... + 15756099.

It is an arithmetic number, because the mean of its divisors is an integer number (29238300).

Almost surely, 2^3135444000 is an apocalyptic number.

3135444000 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 3135444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613753600).

3135444000 is an abundant number, since it is smaller than the sum of its proper divisors (8092063200).

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

3135444000 is a wasteful number, since it uses less digits than its factorization.

3135444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 323 counting only the distinct ones).

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

The square root of 3135444000 is about 55995.0354942293. The cubic root of 3135444000 is about 1463.6357749009.

Adding to 3135444000 its reverse (4445313), we get a palindrome (3139889313).

The spelling of 3135444000 in words is "three billion, one hundred thirty-five million, four hundred forty-four thousand".