3429480 has 32 divisors (see below), whose sum is σ = 10288800. Its totient is φ = 914496.

The previous prime is 3429479. The next prime is 3429487. The reversal of 3429480 is 849243.

It is a happy number.

3429480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3429480² = 23522666140800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3429487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14170 + ... + 14409.

It is an arithmetic number, because the mean of its divisors is an integer number (321525).

Almost surely, 2^3429480 is an apocalyptic number.

3429480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3429480 is an abundant number, since it is smaller than the sum of its proper divisors (6859320).

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

3429480 is a wasteful number, since it uses less digits than its factorization.

3429480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28593 (or 28589 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3429480 is about 1851.8855256198. The cubic root of 3429480 is about 150.8028067876.

The spelling of 3429480 in words is "three million, four hundred twenty-nine thousand, four hundred eighty".