3152096640 has 1024 divisors, whose sum is σ = 14664499200. Its totient is φ = 620421120.

The previous prime is 3152096627. The next prime is 3152096641. The reversal of 3152096640 is 466902513.

It is a happy number.

3152096640 is a `hidden beast` number, since 3 + 1 + 5 + 2 + 0 + 9 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3152096595 and 3152096604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3152096641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30602829 + ... + 30602931.

It is an arithmetic number, because the mean of its divisors is an integer number (14320800).

Almost surely, 2^3152096640 is an apocalyptic number.

3152096640 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 3152096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332249600).

3152096640 is an abundant number, since it is smaller than the sum of its proper divisors (11512402560).

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

3152096640 is a wasteful number, since it uses less digits than its factorization.

3152096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3152096640 is about 56143.5360482398. The cubic root of 3152096640 is about 1466.2223704738. Note that the first 3 decimals are identical.

The spelling of 3152096640 in words is "three billion, one hundred fifty-two million, ninety-six thousand, six hundred forty".