3145065408 has 168 divisors, whose sum is σ = 9568086528. Its totient is φ = 1023757056.

The previous prime is 3145065367. The next prime is 3145065431. The reversal of 3145065408 is 8045605413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666385 + ... + 671087.

It is an arithmetic number, because the mean of its divisors is an integer number (56952896).

Almost surely, 2^3145065408 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 3145065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784043264).

3145065408 is an abundant number, since it is smaller than the sum of its proper divisors (6423021120).

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

3145065408 is an equidigital number, since it uses as much as digits as its factorization.

3145065408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3145065408 is about 56080.8827319970. The cubic root of 3145065408 is about 1465.1313480140.

The spelling of 3145065408 in words is "three billion, one hundred forty-five million, sixty-five thousand, four hundred eight".