3817152 has 84 divisors (see below), whose sum is σ = 11465560. Its totient is φ = 1245312.

The previous prime is 3817147. The next prime is 3817159. The reversal of 3817152 is 2517183.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3817152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3817152² = 29141298782208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3817159) 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 11 ways as a sum of consecutive naturals, for example, 81193 + ... + 81239.

Almost surely, 2^3817152 is an apocalyptic number.

3817152 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 3817152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732780).

3817152 is an abundant number, since it is smaller than the sum of its proper divisors (7648408).

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

3817152 is an equidigital number, since it uses as much as digits as its factorization.

3817152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 52 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 3817152 is about 1953.7533109377. The cubic root of 3817152 is about 156.2835081203.

Multiplying 3817152 by its sum of digits (27), we get a square (103063104 = 10152²).

3817152 divided by its sum of digits (27) gives a square (141376 = 376²).

It can be divided in two parts, 3817 and 152, that added together give a square (3969 = 63²).

The spelling of 3817152 in words is "three million, eight hundred seventeen thousand, one hundred fifty-two".