3283208763120 has 1800 divisors, whose sum is σ = 14016105911808. Its totient is φ = 707517296640.

The previous prime is 3283208763113. The next prime is 3283208763151. The reversal of 3283208763120 is 213678023823.

3283208763120 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 2 + 0 + 8 + 7 + 631 + 2 + 0 = 666.

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 359 ways as a sum of consecutive naturals, for example, 8572346449 + ... + 8572346831.

Almost surely, 2^{3283208763120} is an apocalyptic number.

3283208763120 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 3283208763120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7008052955904).

3283208763120 is an abundant number, since it is smaller than the sum of its proper divisors (10732897148688).

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

3283208763120 is a wasteful number, since it uses less digits than its factorization.

3283208763120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3283208763120 in words is "three trillion, two hundred eighty-three billion, two hundred eight million, seven hundred sixty-three thousand, one hundred twenty".