3885554400 has 288 divisors, whose sum is σ = 15567003648. Its totient is φ = 819763200.

The previous prime is 3885554399. The next prime is 3885554419. The reversal of 3885554400 is 44555883.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209505 + ... + 227295.

It is an arithmetic number, because the mean of its divisors is an integer number (54052096).

Almost surely, 2^3885554400 is an apocalyptic number.

3885554400 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 3885554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783501824).

3885554400 is an abundant number, since it is smaller than the sum of its proper divisors (11681449248).

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

3885554400 is a wasteful number, since it uses less digits than its factorization.

3885554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17834 (or 17821 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The square root of 3885554400 is about 62334.2153235284. The cubic root of 3885554400 is about 1572.1150716352.

The spelling of 3885554400 in words is "three billion, eight hundred eighty-five million, five hundred fifty-four thousand, four hundred".