3408061632 has 112 divisors (see below), whose sum is σ = 9405591552. Its totient is φ = 1087856640.

The previous prime is 3408061619. The next prime is 3408061649. The reversal of 3408061632 is 2361608043.

It is a super-2 number, since 2×3408061632² = 23229768175021006848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3408061593 and 3408061602.

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 15 ways as a sum of consecutive naturals, for example, 574393 + ... + 580295.

It is an arithmetic number, because the mean of its divisors is an integer number (83978496).

Almost surely, 2^3408061632 is an apocalyptic number.

3408061632 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 3408061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702795776).

3408061632 is an abundant number, since it is smaller than the sum of its proper divisors (5997529920).

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

3408061632 is a wasteful number, since it uses less digits than its factorization.

3408061632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6046 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3408061632 is about 58378.6059443012. The cubic root of 3408061632 is about 1504.8821123026.

Adding to 3408061632 its reverse (2361608043), we get a palindrome (5769669675).

The spelling of 3408061632 in words is "three billion, four hundred eight million, sixty-one thousand, six hundred thirty-two".