3805764480 has 512 divisors, whose sum is σ = 15651532800. Its totient is φ = 855982080.

The previous prime is 3805764439. The next prime is 3805764509. The reversal of 3805764480 is 844675083.

3805764480 is a `hidden beast` number, since 38 + 0 + 576 + 4 + 48 + 0 = 666.

3805764480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8829865 + ... + 8830295.

It is an arithmetic number, because the mean of its divisors is an integer number (30569400).

Almost surely, 2^3805764480 is an apocalyptic number.

3805764480 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 3805764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7825766400).

3805764480 is an abundant number, since it is smaller than the sum of its proper divisors (11845768320).

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

3805764480 is a wasteful number, since it uses less digits than its factorization.

3805764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3805764480 is about 61690.8784181260. The cubic root of 3805764480 is about 1561.2794237749.

The spelling of 3805764480 in words is "three billion, eight hundred five million, seven hundred sixty-four thousand, four hundred eighty".