3142256640 has 192 divisors, whose sum is σ = 10118908800. Its totient is φ = 832438272.

The previous prime is 3142256629. The next prime is 3142256641. The reversal of 3142256640 is 466522413.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3142256641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7157541 + ... + 7157979.

It is an arithmetic number, because the mean of its divisors is an integer number (52702650).

Almost surely, 2^3142256640 is an apocalyptic number.

3142256640 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 3142256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059454400).

3142256640 is an abundant number, since it is smaller than the sum of its proper divisors (6976652160).

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

3142256640 is a wasteful number, since it uses less digits than its factorization.

3142256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 3142256640 is about 56055.8350218780. The cubic root of 3142256640 is about 1464.6950624703.

The spelling of 3142256640 in words is "three billion, one hundred forty-two million, two hundred fifty-six thousand, six hundred forty".