3091616640 has 512 divisors, whose sum is σ = 12749184000. Its totient is φ = 693411840.

The previous prime is 3091616629. The next prime is 3091616669. The reversal of 3091616640 is 466161903.

3091616640 is a `hidden beast` number, since 3 + 0 + 9 + 1 + 6 + 1 + 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 = 3091616595 and 3091616604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7378351 + ... + 7378769.

It is an arithmetic number, because the mean of its divisors is an integer number (24900750).

Almost surely, 2^3091616640 is an apocalyptic number.

3091616640 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 3091616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374592000).

3091616640 is an abundant number, since it is smaller than the sum of its proper divisors (9657567360).

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

3091616640 is a wasteful number, since it uses less digits than its factorization.

3091616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3091616640 is about 55602.3078657712. The cubic root of 3091616640 is about 1456.7841648005.

The spelling of 3091616640 in words is "three billion, ninety-one million, six hundred sixteen thousand, six hundred forty".