3378900 has 72 divisors (see below), whose sum is σ = 11179840. Its totient is φ = 771840.

The previous prime is 3378889. The next prime is 3378901. The reversal of 3378900 is 98733.

It is a super-2 number, since 2×3378900² = 22833930420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378901) 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, 1296 + ... + 2904.

Almost surely, 2^3378900 is an apocalyptic number.

3378900 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 3378900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5589920).

3378900 is an abundant number, since it is smaller than the sum of its proper divisors (7800940).

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

3378900 is a wasteful number, since it uses less digits than its factorization.

3378900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 3378900 is about 1838.1784461798. The cubic root of 3378900 is about 150.0577555369.

It can be divided in two parts, 3378 and 900, that added together give a triangular number (4278 = T₉₂).

The spelling of 3378900 in words is "three million, three hundred seventy-eight thousand, nine hundred".