3386632048 has 40 divisors (see below), whose sum is σ = 6912752000. Its totient is φ = 1602846144.

The previous prime is 3386632019. The next prime is 3386632061. The reversal of 3386632048 is 8402366833.

It is a super-2 number, since 2×3386632048² = 22938553257081348608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3386631995 and 3386632013.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 421315 + ... + 429277.

It is an arithmetic number, because the mean of its divisors is an integer number (172818800).

Almost surely, 2^3386632048 is an apocalyptic number.

3386632048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3386632048 is an abundant number, since it is smaller than the sum of its proper divisors (3526119952).

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

3386632048 is a wasteful number, since it uses less digits than its factorization.

3386632048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9389 (or 9383 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The square root of 3386632048 is about 58194.7768102946. The cubic root of 3386632048 is about 1501.7212903878.

The spelling of 3386632048 in words is "three billion, three hundred eighty-six million, six hundred thirty-two thousand, forty-eight".