3142524000 has 768 divisors, whose sum is σ = 13586227200. Its totient is φ = 615168000.

The previous prime is 3142523987. The next prime is 3142524029. The reversal of 3142524000 is 4252413.

3142524000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17555911 + ... + 17556089.

It is an arithmetic number, because the mean of its divisors is an integer number (17690400).

Almost surely, 2^3142524000 is an apocalyptic number.

3142524000 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 3142524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793113600).

3142524000 is an abundant number, since it is smaller than the sum of its proper divisors (10443703200).

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

3142524000 is a wasteful number, since it uses less digits than its factorization.

3142524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3142524000 is about 56058.2197362706. The cubic root of 3142524000 is about 1464.7366026552.

Adding to 3142524000 its reverse (4252413), we get a palindrome (3146776413).

The spelling of 3142524000 in words is "three billion, one hundred forty-two million, five hundred twenty-four thousand".