3805401600 has 1440 divisors, whose sum is σ = 18895873920. Its totient is φ = 729907200.

The previous prime is 3805401599. The next prime is 3805401619. The reversal of 3805401600 is 61045083.

3805401600 is a `hidden beast` number, since 3 + 8 + 0 + 54 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 292723194 + ... + 292723206.

Almost surely, 2^3805401600 is an apocalyptic number.

3805401600 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 3805401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9447936960).

3805401600 is an abundant number, since it is smaller than the sum of its proper divisors (15090472320).

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

3805401600 is a wasteful number, since it uses less digits than its factorization.

3805401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3805401600 is about 61687.9372324930. The cubic root of 3805401600 is about 1561.2297994845.

Adding to 3805401600 its reverse (61045083), we get a palindrome (3866446683).

The spelling of 3805401600 in words is "three billion, eight hundred five million, four hundred one thousand, six hundred".