3142876032 has 256 divisors, whose sum is σ = 10193472000. Its totient is φ = 948879360.

The previous prime is 3142876021. The next prime is 3142876049. The reversal of 3142876032 is 2306782413.

It is a happy number.

3142876032 is a `hidden beast` number, since 3 + 1 + 42 + 8 + 7 + 603 + 2 = 666.

3142876032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3142876032³ (a number of 29 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1509232 + ... + 1511312.

It is an arithmetic number, because the mean of its divisors is an integer number (39818250).

Almost surely, 2^3142876032 is an apocalyptic number.

3142876032 is a gapful number since it is divisible by the number (32) 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 3142876032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096736000).

3142876032 is an abundant number, since it is smaller than the sum of its proper divisors (7050595968).

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

3142876032 is a wasteful number, since it uses less digits than its factorization.

3142876032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3142876032 is about 56061.3595268613. The cubic root of 3142876032 is about 1464.7912948817.

The spelling of 3142876032 in words is "three billion, one hundred forty-two million, eight hundred seventy-six thousand, thirty-two".