3812674215600 has 360 divisors, whose sum is σ = 13337402869440. Its totient is φ = 1008550932480.

The previous prime is 3812674215593. The next prime is 3812674215631. The reversal of 3812674215600 is 65124762183.

3812674215600 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 67 + 4 + 21 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1119069097 + ... + 1119072503.

It is an arithmetic number, because the mean of its divisors is an integer number (37048341304).

Almost surely, 2^{3812674215600} is an apocalyptic number.

3812674215600 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 3812674215600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668701434720).

3812674215600 is an abundant number, since it is smaller than the sum of its proper divisors (9524728653840).

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

3812674215600 is a wasteful number, since it uses less digits than its factorization.

3812674215600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 3812674215600 its reverse (65124762183), we get a palindrome (3877798977783).

The spelling of 3812674215600 in words is "three trillion, eight hundred twelve billion, six hundred seventy-four million, two hundred fifteen thousand, six hundred".