3406215240 has 80 divisors (see below), whose sum is σ = 11448678780. Its totient is φ = 908323200.

The previous prime is 3406215223. The next prime is 3406215313. The reversal of 3406215240 is 425126043.

3406215240 is a `hidden beast` number, since 3 + 406 + 2 + 15 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3115649124 + 290566116 = 55818^2 + 17046^2 .

It is a super-2 number, since 2×3406215240² = 23204604522416515200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 522411 + ... + 528890.

Almost surely, 2^3406215240 is an apocalyptic number.

3406215240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3406215240 is an abundant number, since it is smaller than the sum of its proper divisors (8042463540).

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

3406215240 is a wasteful number, since it uses less digits than its factorization.

3406215240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051324 (or 1051311 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3406215240 is about 58362.7898579223. The cubic root of 3406215240 is about 1504.6102955991.

The spelling of 3406215240 in words is "three billion, four hundred six million, two hundred fifteen thousand, two hundred forty".