3140653824 has 540 divisors, whose sum is σ = 11926457928. Its totient is φ = 812851200.

The previous prime is 3140653801. The next prime is 3140653837. The reversal of 3140653824 is 4283560413.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 11176564 + ... + 11176844.

Almost surely, 2^3140653824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140653824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963228964).

3140653824 is an abundant number, since it is smaller than the sum of its proper divisors (8785804104).

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

3140653824 is a wasteful number, since it uses less digits than its factorization.

3140653824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3140653824 is about 56041.5365956359. The cubic root of 3140653824 is about 1464.4459807617.

The spelling of 3140653824 in words is "three billion, one hundred forty million, six hundred fifty-three thousand, eight hundred twenty-four".