3378672 has 120 divisors (see below), whose sum is σ = 10832640. Its totient is φ = 1010880.

The previous prime is 3378671. The next prime is 3378691. The reversal of 3378672 is 2768733.

It is a super-2 number, since 2×3378672² = 22830848967168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378671) 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, 42729 + ... + 42807.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

Almost surely, 2^3378672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3378672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416320).

3378672 is an abundant number, since it is smaller than the sum of its proper divisors (7453968).

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

3378672 is a wasteful number, since it uses less digits than its factorization.

3378672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3378672 is about 1838.1164272156. The cubic root of 3378672 is about 150.0543802828.

It can be divided in two parts, 337 and 8672, that added together give a palindrome (9009).

The spelling of 3378672 in words is "three million, three hundred seventy-eight thousand, six hundred seventy-two".