3145038624 has 576 divisors, whose sum is σ = 12086081280. Its totient is φ = 776355840.

The previous prime is 3145038613. The next prime is 3145038643. The reversal of 3145038624 is 4268305413.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17375814 + ... + 17375994.

It is an arithmetic number, because the mean of its divisors is an integer number (20982780).

Almost surely, 2^3145038624 is an apocalyptic number.

3145038624 is a gapful number since it is divisible by the number (34) 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 3145038624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043040640).

3145038624 is an abundant number, since it is smaller than the sum of its proper divisors (8941042656).

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

3145038624 is a wasteful number, since it uses less digits than its factorization.

3145038624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

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

The square root of 3145038624 is about 56080.6439335356. The cubic root of 3145038624 is about 1465.1271888859.

The spelling of 3145038624 in words is "three billion, one hundred forty-five million, thirty-eight thousand, six hundred twenty-four".