3805009920 has 576 divisors, whose sum is σ = 14488437600. Its totient is φ = 920125440.

The previous prime is 3805009913. The next prime is 3805009951. The reversal of 3805009920 is 299005083.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 71792614 + ... + 71792666.

Almost surely, 2^3805009920 is an apocalyptic number.

3805009920 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 3805009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244218800).

3805009920 is an abundant number, since it is smaller than the sum of its proper divisors (10683427680).

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

3805009920 is a wasteful number, since it uses less digits than its factorization.

3805009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3805009920 is about 61684.7624620538. The cubic root of 3805009920 is about 1561.1762332179.

The spelling of 3805009920 in words is "three billion, eight hundred five million, nine thousand, nine hundred twenty".