3847932864000 has 1600 divisors, whose sum is σ = 15516090120960. Its totient is φ = 944190259200.

The previous prime is 3847932863977. The next prime is 3847932864007. The reversal of 3847932864000 is 4682397483.

3847932864000 is a `hidden beast` number, since 38 + 47 + 93 + 2 + 86 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3847932864007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4142015536 + ... + 4142016464.

Almost surely, 2^{3847932864000} is an apocalyptic number.

3847932864000 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 3847932864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7758045060480).

3847932864000 is an abundant number, since it is smaller than the sum of its proper divisors (11668157256960).

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

3847932864000 is an equidigital number, since it uses as much as digits as its factorization.

3847932864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3847932864000 in words is "three trillion, eight hundred forty-seven billion, nine hundred thirty-two million, eight hundred sixty-four thousand".