3845683904400 has 960 divisors, whose sum is σ = 15187762087680. Its totient is φ = 918190080000.

The previous prime is 3845683904389. The next prime is 3845683904431. The reversal of 3845683904400 is 44093865483.

3845683904400 is a `hidden beast` number, since 3 + 8 + 4 + 568 + 39 + 0 + 4 + 40 + 0 = 666.

It is a super-2 number, since 2×3845683904400² (a number of 26 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 1041906555 + ... + 1041910245.

It is an arithmetic number, because the mean of its divisors is an integer number (15820585508).

Almost surely, 2^{3845683904400} is an apocalyptic number.

3845683904400 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 3845683904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593881043840).

3845683904400 is an abundant number, since it is smaller than the sum of its proper divisors (11342078183280).

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

3845683904400 is a wasteful number, since it uses less digits than its factorization.

3845683904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 3845683904400 in words is "three trillion, eight hundred forty-five billion, six hundred eighty-three million, nine hundred four thousand, four hundred".