3385600 has 81 divisors (see below), whose sum is σ = 8760073. Its totient is φ = 1295360.

The previous prime is 3385589. The next prime is 3385609. The reversal of 3385600 is 65833.

The square root of 3385600 is 1840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1218816 + 2166784 = 1104^2 + 1472^2 .

It is a super-2 number, since 2×3385600² = 22924574720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3385609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 147189 + ... + 147211.

Almost surely, 2^3385600 is an apocalyptic number.

3385600 is the 1840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385600

3385600 is an abundant number, since it is smaller than the sum of its proper divisors (5374473).

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

3385600 is an equidigital number, since it uses as much as digits as its factorization.

3385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The cubic root of 3385600 is about 150.1568729191.

Multiplying 3385600 by its sum of digits (25), we get a square (84640000 = 9200²).

3385600 divided by its sum of digits (25) gives a square (135424 = 368²).

The spelling of 3385600 in words is "three million, three hundred eighty-five thousand, six hundred".