3805954560 has 640 divisors, whose sum is σ = 14849049600. Its totient is φ = 920125440.

The previous prime is 3805954511. The next prime is 3805954561. The reversal of 3805954560 is 654595083.

3805954560 is a `hidden beast` number, since 3 + 8 + 0 + 595 + 4 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3805954560² = 28970580225569587200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3805954561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48176601 + ... + 48176679.

It is an arithmetic number, because the mean of its divisors is an integer number (23201640).

Almost surely, 2^3805954560 is an apocalyptic number.

3805954560 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 3805954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424524800).

3805954560 is an abundant number, since it is smaller than the sum of its proper divisors (11043095040).

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

3805954560 is a wasteful number, since it uses less digits than its factorization.

3805954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 3805954560 is about 61692.4189832106. The cubic root of 3805954560 is about 1561.3054161919.

The spelling of 3805954560 in words is "three billion, eight hundred five million, nine hundred fifty-four thousand, five hundred sixty".