3814961664 has 160 divisors (see below), whose sum is σ = 10990457280. Its totient is φ = 1171832832.

The previous prime is 3814961651. The next prime is 3814961669. The reversal of 3814961664 is 4661694183.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3814961669) 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 15 ways as a sum of consecutive naturals, for example, 1078042 + ... + 1081574.

It is an arithmetic number, because the mean of its divisors is an integer number (68690358).

Almost surely, 2^3814961664 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 3814961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495228640).

3814961664 is an abundant number, since it is smaller than the sum of its proper divisors (7175495616).

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

3814961664 is a wasteful number, since it uses less digits than its factorization.

3814961664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3594 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 3814961664 is about 61765.3759318277. The cubic root of 3814961664 is about 1562.5360983575.

The spelling of 3814961664 in words is "three billion, eight hundred fourteen million, nine hundred sixty-one thousand, six hundred sixty-four".