3815124864 has 128 divisors (see below), whose sum is σ = 10659962880. Its totient is φ = 1207265280.

The previous prime is 3815124857. The next prime is 3815124869. The reversal of 3815124864 is 4684215183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3815124864² = 29110355455822036992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3815124869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627889 + ... + 633935.

It is an arithmetic number, because the mean of its divisors is an integer number (83280960).

Almost surely, 2^3815124864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3815124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329981440).

3815124864 is an abundant number, since it is smaller than the sum of its proper divisors (6844838016).

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

3815124864 is a wasteful number, since it uses less digits than its factorization.

3815124864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148 (or 6136 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 3815124864 is about 61766.6970462239. The cubic root of 3815124864 is about 1562.5583792502.

The spelling of 3815124864 in words is "three billion, eight hundred fifteen million, one hundred twenty-four thousand, eight hundred sixty-four".