3664389391488 has 384 divisors, whose sum is σ = 12741311232000. Its totient is φ = 987485976576.

The previous prime is 3664389391427. The next prime is 3664389391513. The reversal of 3664389391488 is 8841939834663.

3664389391488 is a `hidden beast` number, since 3 + 6 + 64 + 3 + 89 + 3 + 9 + 1 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3664389391488² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34727353 + ... + 34832711.

It is an arithmetic number, because the mean of its divisors is an integer number (33180498000).

Almost surely, 2^{3664389391488} is an apocalyptic number.

3664389391488 is a gapful number since it is divisible by the number (38) 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 3664389391488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370655616000).

3664389391488 is an abundant number, since it is smaller than the sum of its proper divisors (9076921840512).

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

3664389391488 is a wasteful number, since it uses less digits than its factorization.

3664389391488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105632 (or 105617 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 3664389391488 in words is "three trillion, six hundred sixty-four billion, three hundred eighty-nine million, three hundred ninety-one thousand, four hundred eighty-eight".