3388800 has 96 divisors (see below), whose sum is σ = 11193480. Its totient is φ = 901120.

The previous prime is 3388799. The next prime is 3388813. The reversal of 3388800 is 88833.

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

It is a super-2 number, since 2×3388800² = 22967930880000, which contains 22 as substring.

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9424 + ... + 9776.

Almost surely, 2^3388800 is an apocalyptic number.

3388800 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 3388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596740).

3388800 is an abundant number, since it is smaller than the sum of its proper divisors (7804680).

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

3388800 is a wasteful number, since it uses less digits than its factorization.

3388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3388800 is about 1840.8693598406. The cubic root of 3388800 is about 150.2041664255.

It can be divided in two parts, 3 and 388800, that multiplied together give a square (1166400 = 1080²).

The spelling of 3388800 in words is "three million, three hundred eighty-eight thousand, eight hundred".