3285628899840 has 960 divisors, whose sum is σ = 13427055113472. Its totient is φ = 726899097600.

The previous prime is 3285628899829. The next prime is 3285628899851. The reversal of 3285628899840 is 489988265823.

3285628899840 is a `hidden beast` number, since 328 + 5 + 62 + 88 + 99 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3285628899829) and next prime (3285628899851).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 866232984 + ... + 866236776.

Almost surely, 2^{3285628899840} is an apocalyptic number.

3285628899840 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 3285628899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713527556736).

3285628899840 is an abundant number, since it is smaller than the sum of its proper divisors (10141426213632).

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

3285628899840 is a wasteful number, since it uses less digits than its factorization.

3285628899840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 3285628899840 in words is "three trillion, two hundred eighty-five billion, six hundred twenty-eight million, eight hundred ninety-nine thousand, eight hundred forty".