3285626880 has 208 divisors, whose sum is σ = 10721691360. Its totient is φ = 858783744.

The previous prime is 3285626879. The next prime is 3285626893. The reversal of 3285626880 is 886265823.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3255816 + ... + 3256824.

Almost surely, 2^3285626880 is an apocalyptic number.

3285626880 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 3285626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360845680).

3285626880 is an abundant number, since it is smaller than the sum of its proper divisors (7436064480).

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

3285626880 is a wasteful number, since it uses less digits than its factorization.

3285626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 3285626880 is about 57320.3879958955. The cubic root of 3285626880 is about 1486.6409142002.

The spelling of 3285626880 in words is "three billion, two hundred eighty-five million, six hundred twenty-six thousand, eight hundred eighty".