3153008640 has 192 divisors, whose sum is σ = 10157827680. Its totient is φ = 834928640.

The previous prime is 3153008633. The next prime is 3153008647. The reversal of 3153008640 is 468003513.

It is an interprime number because it is at equal distance from previous prime (3153008633) and next prime (3153008647).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3153008598 and 3153008607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3153008647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6051580 + ... + 6052100.

Almost surely, 2^3153008640 is an apocalyptic number.

3153008640 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 3153008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078913840).

3153008640 is an abundant number, since it is smaller than the sum of its proper divisors (7004819040).

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

3153008640 is a wasteful number, since it uses less digits than its factorization.

3153008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3153008640 is about 56151.6575000240. The cubic root of 3153008640 is about 1466.3637648124.

The spelling of 3153008640 in words is "three billion, one hundred fifty-three million, eight thousand, six hundred forty".