3885926400 has 360 divisors, whose sum is σ = 14408003610. Its totient is φ = 1035141120.

The previous prime is 3885926399. The next prime is 3885926483. The reversal of 3885926400 is 46295883.

3885926400 is a `hidden beast` number, since 388 + 5 + 9 + 264 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1841439744 + 2044486656 = 42912^2 + 45216^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4146732 + ... + 4147668.

Almost surely, 2^3885926400 is an apocalyptic number.

3885926400 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 3885926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7204001805).

3885926400 is an abundant number, since it is smaller than the sum of its proper divisors (10522077210).

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

3885926400 is an equidigital number, since it uses as much as digits as its factorization.

3885926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 947 counting only the distinct ones).

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

The square root of 3885926400 is about 62337.1991671105. The cubic root of 3885926400 is about 1572.1652410649.

The spelling of 3885926400 in words is "three billion, eight hundred eighty-five million, nine hundred twenty-six thousand, four hundred".