3375600 has 120 divisors (see below), whose sum is σ = 11301360. Its totient is φ = 860160.

The previous prime is 3375599. The next prime is 3375601. The reversal of 3375600 is 65733.

It is an interprime number because it is at equal distance from previous prime (3375599) and next prime (3375601).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3375600² = 22789350720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3375601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34752 + ... + 34848.

It is an arithmetic number, because the mean of its divisors is an integer number (94178).

Almost surely, 2^3375600 is an apocalyptic number.

3375600 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 3375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5650680).

3375600 is an abundant number, since it is smaller than the sum of its proper divisors (7925760).

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

3375600 is a wasteful number, since it uses less digits than its factorization.

3375600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 3375600 is about 1837.2805991465. The cubic root of 3375600 is about 150.0088883622.

The spelling of 3375600 in words is "three million, three hundred seventy-five thousand, six hundred".