3430080 has 112 divisors (see below), whose sum is σ = 12131040. Its totient is φ = 912384.

The previous prime is 3430079. The next prime is 3430087. The reversal of 3430080 is 800343.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3430087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8442 + ... + 8838.

Almost surely, 2^3430080 is an apocalyptic number.

3430080 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 3430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065520).

3430080 is an abundant number, since it is smaller than the sum of its proper divisors (8700960).

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

3430080 is a wasteful number, since it uses less digits than its factorization.

3430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3430080 is about 1852.0475155892. The cubic root of 3430080 is about 150.8116007746.

It can be divided in two parts, 34300 and 80, that multiplied together give a cube (2744000 = 140³).

The spelling of 3430080 in words is "three million, four hundred thirty thousand, eighty".