3140964000 has 384 divisors, whose sum is σ = 11573452800. Its totient is φ = 827366400.

The previous prime is 3140963999. The next prime is 3140964007. The reversal of 3140964000 is 4690413.

3140964000 is a `hidden beast` number, since 3 + 14 + 0 + 9 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3140964007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13715886 + ... + 13716114.

It is an arithmetic number, because the mean of its divisors is an integer number (30139200).

Almost surely, 2^3140964000 is an apocalyptic number.

3140964000 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 3140964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786726400).

3140964000 is an abundant number, since it is smaller than the sum of its proper divisors (8432488800).

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

3140964000 is a wasteful number, since it uses less digits than its factorization.

3140964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3140964000 is about 56044.3039032514. The cubic root of 3140964000 is about 1464.4941895179.

It can be divided in two parts, 314096 and 4000, that added together give a square (318096 = 564²).

The spelling of 3140964000 in words is "three billion, one hundred forty million, nine hundred sixty-four thousand".