3283058688000 has 1216 divisors, whose sum is σ = 13484024107008. Its totient is φ = 690801868800.

The previous prime is 3283058687983. The next prime is 3283058688023. The reversal of 3283058688000 is 8868503823.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8945663817 + ... + 8945664183.

Almost surely, 2^{3283058688000} is an apocalyptic number.

3283058688000 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 3283058688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742012053504).

3283058688000 is an abundant number, since it is smaller than the sum of its proper divisors (10200965419008).

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

3283058688000 is an frugal number, since it uses more digits than its factorization.

3283058688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 3283058688000 in words is "three trillion, two hundred eighty-three billion, fifty-eight million, six hundred eighty-eight thousand".