3413896992 has 144 divisors (see below), whose sum is σ = 11051546688. Its totient is φ = 989514240.

The previous prime is 3413896951. The next prime is 3413897009. The reversal of 3413896992 is 2996983143.

3413896992 is a `hidden beast` number, since 3 + 413 + 89 + 69 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49438 + ... + 96290.

It is an arithmetic number, because the mean of its divisors is an integer number (76746852).

Almost surely, 2^3413896992 is an apocalyptic number.

3413896992 is a gapful number since it is divisible by the number (32) 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 3413896992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525773344).

3413896992 is an abundant number, since it is smaller than the sum of its proper divisors (7637649696).

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

3413896992 is a wasteful number, since it uses less digits than its factorization.

3413896992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46903 (or 46892 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 3413896992 is about 58428.5631519379. The cubic root of 3413896992 is about 1505.7405202595.

The spelling of 3413896992 in words is "three billion, four hundred thirteen million, eight hundred ninety-six thousand, nine hundred ninety-two".