3894053108400 has 2880 divisors, whose sum is σ = 18886057881600. Its totient is φ = 753251788800.

The previous prime is 3894053108347. The next prime is 3894053108443. The reversal of 3894053108400 is 48013504983.

3894053108400 is a `hidden beast` number, since 3 + 8 + 94 + 0 + 53 + 108 + 400 = 666.

It is a super-2 number, since 2×3894053108400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 125614616385 + ... + 125614616415.

Almost surely, 2^{3894053108400} is an apocalyptic number.

3894053108400 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 3894053108400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9443028940800).

3894053108400 is an abundant number, since it is smaller than the sum of its proper divisors (14992004773200).

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

3894053108400 is a wasteful number, since it uses less digits than its factorization.

3894053108400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3894053108400 in words is "three trillion, eight hundred ninety-four billion, fifty-three million, one hundred eight thousand, four hundred".