3142729840 has 40 divisors (see below), whose sum is σ = 7309219680. Its totient is φ = 1256683776.

The previous prime is 3142729829. The next prime is 3142729847. The reversal of 3142729840 is 489272413.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3142729793 and 3142729802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142729847) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 411981 + ... + 419539.

It is an arithmetic number, because the mean of its divisors is an integer number (182730492).

Almost surely, 2^3142729840 is an apocalyptic number.

It is an amenable number.

3142729840 is an abundant number, since it is smaller than the sum of its proper divisors (4166489840).

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

3142729840 is a wasteful number, since it uses less digits than its factorization.

3142729840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12769 (or 12763 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 3142729840 is about 56060.0556546281. The cubic root of 3142729840 is about 1464.7685827663.

The spelling of 3142729840 in words is "three billion, one hundred forty-two million, seven hundred twenty-nine thousand, eight hundred forty".