3379800 has 96 divisors (see below), whose sum is σ = 10802880. Its totient is φ = 873600.

The previous prime is 3379799. The next prime is 3379801. The reversal of 3379800 is 89733.

It is an interprime number because it is at equal distance from previous prime (3379799) and next prime (3379801).

It is a super-2 number, since 2×3379800² = 22846096080000, 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 (3379801) 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, 25735 + ... + 25865.

It is an arithmetic number, because the mean of its divisors is an integer number (112530).

Almost surely, 2^3379800 is an apocalyptic number.

3379800 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 3379800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401440).

3379800 is an abundant number, since it is smaller than the sum of its proper divisors (7423080).

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

3379800 is a wasteful number, since it uses less digits than its factorization.

3379800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

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

The square root of 3379800 is about 1838.4232374511. The cubic root of 3379800 is about 150.0710774258.

The spelling of 3379800 in words is "three million, three hundred seventy-nine thousand, eight hundred".