3372000 has 96 divisors (see below), whose sum is σ = 11085984. Its totient is φ = 896000.

The previous prime is 3371999. The next prime is 3372013. The reversal of 3372000 is 2733.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3372000² = 22740768000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11860 + ... + 12140.

It is an arithmetic number, because the mean of its divisors is an integer number (115479).

Almost surely, 2^3372000 is an apocalyptic number.

3372000 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 3372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542992).

3372000 is an abundant number, since it is smaller than the sum of its proper divisors (7713984).

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

3372000 is a wasteful number, since it uses less digits than its factorization.

3372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 3372000 is about 1836.3006289821. The cubic root of 3372000 is about 149.9555423803.

Adding to 3372000 its reverse (2733), we get a palindrome (3374733).

The spelling of 3372000 in words is "three million, three hundred seventy-two thousand".