3385152 has 70 divisors (see below), whose sum is σ = 10050018. Its totient is φ = 1126656.

The previous prime is 3385147. The next prime is 3385153. The reversal of 3385152 is 2515833.

It can be written as a sum of positive squares in only one way, i.e., 2509056 + 876096 = 1584^2 + 936^2 .

It is a super-2 number, since 2×3385152² = 22918508126208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385153) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4858 + ... + 5510.

Almost surely, 2^3385152 is an apocalyptic number.

3385152 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 3385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025009).

3385152 is an abundant number, since it is smaller than the sum of its proper divisors (6664866).

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

3385152 is an equidigital number, since it uses as much as digits as its factorization.

3385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 658 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 3385152 is about 1839.8782568420. The cubic root of 3385152 is about 150.1502494504.

The spelling of 3385152 in words is "three million, three hundred eighty-five thousand, one hundred fifty-two".