3117320640 has 784 divisors, whose sum is σ = 13432462848. Its totient is φ = 673339392.

The previous prime is 3117320639. The next prime is 3117320653. The reversal of 3117320640 is 460237113.

3117320640 is a `hidden beast` number, since 3 + 1 + 17 + 3 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37558039 + ... + 37558121.

Almost surely, 2^3117320640 is an apocalyptic number.

3117320640 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 3117320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716231424).

3117320640 is an abundant number, since it is smaller than the sum of its proper divisors (10315142208).

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

3117320640 is an equidigital number, since it uses as much as digits as its factorization.

3117320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3117320640 is about 55832.9709042963. The cubic root of 3117320640 is about 1460.8103089319.

Adding to 3117320640 its reverse (460237113), we get a palindrome (3577557753).

The spelling of 3117320640 in words is "three billion, one hundred seventeen million, three hundred twenty thousand, six hundred forty".