3484920 has 64 divisors (see below), whose sum is σ = 10588320. Its totient is φ = 917504.

The previous prime is 3484913. The next prime is 3484931. The reversal of 3484920 is 294843.

It is a happy number.

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

It is a congruent number.

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, 13432 + ... + 13688.

Almost surely, 2^3484920 is an apocalyptic number.

3484920 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 3484920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294160).

3484920 is an abundant number, since it is smaller than the sum of its proper divisors (7103400).

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

3484920 is a wasteful number, since it uses less digits than its factorization.

3484920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

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

The square root of 3484920 is about 1866.7940432731. The cubic root of 3484920 is about 151.6110786640.

The spelling of 3484920 in words is "three million, four hundred eighty-four thousand, nine hundred twenty".