3861447033600 has 2160 divisors, whose sum is σ = 16519413002400. Its totient is φ = 881940234240.

The previous prime is 3861447033593. The next prime is 3861447033637. The reversal of 3861447033600 is 63307441683.

3861447033600 is a `hidden beast` number, since 3 + 8 + 6 + 1 + 4 + 4 + 7 + 0 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6786374116 + ... + 6786374684.

It is an arithmetic number, because the mean of its divisors is an integer number (7647876390).

Almost surely, 2^{3861447033600} is an apocalyptic number.

3861447033600 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 3861447033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8259706501200).

3861447033600 is an abundant number, since it is smaller than the sum of its proper divisors (12657965968800).

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

3861447033600 is a wasteful number, since it uses less digits than its factorization.

3861447033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3861447033600 in words is "three trillion, eight hundred sixty-one billion, four hundred forty-seven million, thirty-three thousand, six hundred".