3409460820 has 36 divisors (see below), whose sum is σ = 10342031700. Its totient is φ = 909189504.

The previous prime is 3409460809. The next prime is 3409460843. The reversal of 3409460820 is 280649043.

It is a happy number.

3409460820 is a `hidden beast` number, since 3 + 40 + 9 + 4 + 608 + 2 + 0 = 666.

3409460820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1186526916 + 2222933904 = 34446^2 + 47148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9470545 + ... + 9470904.

Almost surely, 2^3409460820 is an apocalyptic number.

3409460820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3409460820 is an abundant number, since it is smaller than the sum of its proper divisors (6932570880).

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

3409460820 is a wasteful number, since it uses less digits than its factorization.

3409460820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18941464 (or 18941459 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3409460820 is about 58390.5884539623. The cubic root of 3409460820 is about 1505.0880284636.

The spelling of 3409460820 in words is "three billion, four hundred nine million, four hundred sixty thousand, eight hundred twenty".