3133616640 has 480 divisors, whose sum is σ = 12729524544. Its totient is φ = 650280960.

The previous prime is 3133616621. The next prime is 3133616657. The reversal of 3133616640 is 466163313.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 4139142 + ... + 4139898.

Almost surely, 2^3133616640 is an apocalyptic number.

3133616640 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 3133616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364762272).

3133616640 is an abundant number, since it is smaller than the sum of its proper divisors (9595907904).

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

3133616640 is a wasteful number, since it uses less digits than its factorization.

3133616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3133616640 is about 55978.7159552629. The cubic root of 3133616640 is about 1463.3513803858.

Adding to 3133616640 its reverse (466163313), we get a palindrome (3599779953).

The spelling of 3133616640 in words is "three billion, one hundred thirty-three million, six hundred sixteen thousand, six hundred forty".