3405415338 has 64 divisors (see below), whose sum is σ = 8214097920. Its totient is φ = 1039542336.

The previous prime is 3405415337. The next prime is 3405415339. The reversal of 3405415338 is 8335145043.

3405415338 is a `hidden beast` number, since 34 + 0 + 541 + 53 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (3405415337) and next prime (3405415339).

It is not an unprimeable number, because it can be changed into a prime (3405415331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70056 + ... + 108252.

It is an arithmetic number, because the mean of its divisors is an integer number (128345280).

Almost surely, 2^3405415338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405415338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107048960).

3405415338 is an abundant number, since it is smaller than the sum of its proper divisors (4808682582).

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

3405415338 is a wasteful number, since it uses less digits than its factorization.

3405415338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38348 (or 38342 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3405415338 is about 58355.9366131673. The cubic root of 3405415338 is about 1504.4925074850.

The spelling of 3405415338 in words is "three billion, four hundred five million, four hundred fifteen thousand, three hundred thirty-eight".