3164663040 has 648 divisors, whose sum is σ = 13016273760. Its totient is φ = 652861440.

The previous prime is 3164663039. The next prime is 3164663041. The reversal of 3164663040 is 403664613.

It is an interprime number because it is at equal distance from previous prime (3164663039) and next prime (3164663041).

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

It is a junction number, because it is equal to n+sod(n) for n = 3164662992 and 3164663010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164663041) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 22767291 + ... + 22767429.

Almost surely, 2^3164663040 is an apocalyptic number.

3164663040 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 3164663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508136880).

3164663040 is an abundant number, since it is smaller than the sum of its proper divisors (9851610720).

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

3164663040 is a wasteful number, since it uses less digits than its factorization.

3164663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 3164663040 is about 56255.3378800625. The cubic root of 3164663040 is about 1468.1682399425.

The spelling of 3164663040 in words is "three billion, one hundred sixty-four million, six hundred sixty-three thousand, forty".