3325639680 has 484 divisors, whose sum is σ = 13054243032. Its totient is φ = 806215680.

The previous prime is 3325639657. The next prime is 3325639693. The reversal of 3325639680 is 869365233.

3325639680 is a `hidden beast` number, since 3 + 3 + 2 + 5 + 639 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×3325639680² = 22119758562381004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 302330875 + ... + 302330885.

Almost surely, 2^3325639680 is an apocalyptic number.

3325639680 is a gapful number since it is divisible by the number (30) 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 3325639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6527121516).

3325639680 is an abundant number, since it is smaller than the sum of its proper divisors (9728603352).

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

3325639680 is an frugal number, since it uses more digits than its factorization.

3325639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3325639680 is about 57668.3594356559. The cubic root of 3325639680 is about 1492.6514176824.

It can be divided in two parts, 332563 and 9680, that added together give a palindrome (342243).

The spelling of 3325639680 in words is "three billion, three hundred twenty-five million, six hundred thirty-nine thousand, six hundred eighty".