3438720 has 128 divisors (see below), whose sum is σ = 12240000. Its totient is φ = 912384.

The previous prime is 3438713. The next prime is 3438731. The reversal of 3438720 is 278343.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17181 + ... + 17379.

It is an arithmetic number, because the mean of its divisors is an integer number (95625).

Almost surely, 2^3438720 is an apocalyptic number.

3438720 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 3438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120000).

3438720 is an abundant number, since it is smaller than the sum of its proper divisors (8801280).

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

3438720 is a wasteful number, since it uses less digits than its factorization.

3438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3438720 is about 1854.3786021199. The cubic root of 3438720 is about 150.9381206332.

The spelling of 3438720 in words is "three million, four hundred thirty-eight thousand, seven hundred twenty".