3918788864 has 108 divisors (see below), whose sum is σ = 8567329932. Its totient is φ = 1782743040.

The previous prime is 3918788857. The next prime is 3918788873. The reversal of 3918788864 is 4688878193.

It can be written as a sum of positive squares in 2 ways, for example, as 1458628864 + 2460160000 = 38192^2 + 49600^2 .

It is a super-2 number, since 2×3918788864² = 30713812321220820992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 3918788797 and 3918788806.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4181804 + ... + 4182740.

It is an arithmetic number, because the mean of its divisors is an integer number (79327129).

Almost surely, 2^3918788864 is an apocalyptic number.

3918788864 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 3918788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283664966).

3918788864 is an abundant number, since it is smaller than the sum of its proper divisors (4648541068).

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

3918788864 is an equidigital number, since it uses as much as digits as its factorization.

3918788864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 987 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 62.

The square root of 3918788864 is about 62600.2305427065. The cubic root of 3918788864 is about 1576.5846302572.

The spelling of 3918788864 in words is "three billion, nine hundred eighteen million, seven hundred eighty-eight thousand, eight hundred sixty-four".