3805417152 has 112 divisors (see below), whose sum is σ = 11548262400. Its totient is φ = 1227536640.

The previous prime is 3805417111. The next prime is 3805417153. The reversal of 3805417152 is 2517145083.

It is a super-2 number, since 2×3805417152² = 28962399401471582208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3805417153) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18049 + ... + 89087.

Almost surely, 2^3805417152 is an apocalyptic number.

3805417152 is a gapful number since it is divisible by the number (32) 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 3805417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774131200).

3805417152 is an abundant number, since it is smaller than the sum of its proper divisors (7742845248).

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

3805417152 is a wasteful number, since it uses less digits than its factorization.

3805417152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71091 (or 71075 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 3805417152 is about 61688.0632861820. The cubic root of 3805417152 is about 1561.2319263045.

The spelling of 3805417152 in words is "three billion, eight hundred five million, four hundred seventeen thousand, one hundred fifty-two".