3326888448 has 480 divisors, whose sum is σ = 11320108800. Its totient is φ = 931627008.

The previous prime is 3326888447. The next prime is 3326888449. The reversal of 3326888448 is 8448886233.

It is an interprime number because it is at equal distance from previous prime (3326888447) and next prime (3326888449).

It is a super-2 number, since 2×3326888448² = 22136373490871697408, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3326888394 and 3326888403.

It is not an unprimeable number, because it can be changed into a prime (3326888447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42112473 + ... + 42112551.

It is an arithmetic number, because the mean of its divisors is an integer number (23583560).

Almost surely, 2^3326888448 is an apocalyptic number.

3326888448 is a gapful number since it is divisible by the number (38) 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 3326888448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660054400).

3326888448 is an abundant number, since it is smaller than the sum of its proper divisors (7993220352).

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

3326888448 is a wasteful number, since it uses less digits than its factorization.

3326888448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 3326888448 is about 57679.1855698397. The cubic root of 3326888448 is about 1492.8382230540.

The spelling of 3326888448 in words is "three billion, three hundred twenty-six million, eight hundred eighty-eight thousand, four hundred forty-eight".