3140504640 has 672 divisors, whose sum is σ = 13899465216. Its totient is φ = 632586240.

The previous prime is 3140504597. The next prime is 3140504669. The reversal of 3140504640 is 464050413.

3140504640 is a `hidden beast` number, since 3 + 14 + 0 + 5 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6027580 + ... + 6028100.

It is an arithmetic number, because the mean of its divisors is an integer number (20683728).

Almost surely, 2^3140504640 is an apocalyptic number.

3140504640 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 3140504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949732608).

3140504640 is an abundant number, since it is smaller than the sum of its proper divisors (10758960576).

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

3140504640 is a wasteful number, since it uses less digits than its factorization.

3140504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3140504640 is about 56040.2055670748. The cubic root of 3140504640 is about 1464.4227928757.

The spelling of 3140504640 in words is "three billion, one hundred forty million, five hundred four thousand, six hundred forty".