3378700 has 72 divisors (see below), whose sum is σ = 8311968. Its totient is φ = 1182720.

The previous prime is 3378691. The next prime is 3378701. The reversal of 3378700 is 78733.

3378700 is a nontrivial binomial coefficient, being equal to C(2600, 2).

It is a super-2 number, since 2×3378700² = 22831227380000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

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 (3378701) 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, 29844 + ... + 29956.

It is an arithmetic number, because the mean of its divisors is an integer number (115444).

Almost surely, 2^3378700 is an apocalyptic number.

3378700 is the 2599-th triangular number and also the 1300-th hexagonal number.

3378700 is the 867-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3378700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155984).

3378700 is an abundant number, since it is smaller than the sum of its proper divisors (4933268).

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

3378700 is a wasteful number, since it uses less digits than its factorization.

3378700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 3378700 is about 1838.1240436924. The cubic root of 3378700 is about 150.0547947959.

The spelling of 3378700 in words is "three million, three hundred seventy-eight thousand, seven hundred".