3126017664 has 512 divisors, whose sum is σ = 12196915200. Its totient is φ = 763084800.

The previous prime is 3126017663. The next prime is 3126017689. The reversal of 3126017664 is 4667106213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3126017663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4523559 + ... + 4524249.

It is an arithmetic number, because the mean of its divisors is an integer number (23822100).

Almost surely, 2^3126017664 is an apocalyptic number.

3126017664 is a gapful number since it is divisible by the number (34) 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 3126017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098457600).

3126017664 is an abundant number, since it is smaller than the sum of its proper divisors (9070897536).

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

3126017664 is a wasteful number, since it uses less digits than its factorization.

3126017664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3126017664 is about 55910.8009601007. The cubic root of 3126017664 is about 1462.1675541536.

The spelling of 3126017664 in words is "three billion, one hundred twenty-six million, seventeen thousand, six hundred sixty-four".