3864497364000 has 960 divisors, whose sum is σ = 17457355948032. Its totient is φ = 815360256000.

The previous prime is 3864497363989. The next prime is 3864497364043. The reversal of 3864497364000 is 4637944683.

3864497364000 is a `hidden beast` number, since 3 + 86 + 4 + 497 + 36 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29418465 + ... + 29549535.

Almost surely, 2^{3864497364000} is an apocalyptic number.

3864497364000 is a gapful number since it is divisible by the number (30) 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 3864497364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8728677974016).

3864497364000 is an abundant number, since it is smaller than the sum of its proper divisors (13592858584032).

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

3864497364000 is a wasteful number, since it uses less digits than its factorization.

3864497364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131128 (or 131101 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3864497364000 in words is "three trillion, eight hundred sixty-four billion, four hundred ninety-seven million, three hundred sixty-four thousand".