3382658496 has 420 divisors, whose sum is σ = 11963393904. Its totient is φ = 925655040.

The previous prime is 3382658471. The next prime is 3382658497. The reversal of 3382658496 is 6948562833.

3382658496 is a `hidden beast` number, since 3 + 38 + 26 + 584 + 9 + 6 = 666.

It is a super-2 number, since 2×3382658496² = 22884757001121964032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382658497) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34872720 + ... + 34872816.

Almost surely, 2^3382658496 is an apocalyptic number.

3382658496 is a gapful number since it is divisible by the number (36) 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 3382658496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981696952).

3382658496 is an abundant number, since it is smaller than the sum of its proper divisors (8580735408).

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

3382658496 is an equidigital number, since it uses as much as digits as its factorization.

3382658496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 140 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 3382658496 is about 58160.6266816306. The cubic root of 3382658496 is about 1501.1337348809.

The spelling of 3382658496 in words is "three billion, three hundred eighty-two million, six hundred fifty-eight thousand, four hundred ninety-six".