3285312137550 has 288 divisors, whose sum is σ = 9569531001888. Its totient is φ = 804831068160.

The previous prime is 3285312137537. The next prime is 3285312137629. The reversal of 3285312137550 is 557312135823.

3285312137550 is a `hidden beast` number, since 3 + 2 + 8 + 53 + 12 + 1 + 37 + 550 = 666.

It is a super-2 number, since 2×3285312137550² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3285312137496 and 3285312137505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 727964094 + ... + 727968606.

It is an arithmetic number, because the mean of its divisors is an integer number (33227538201).

Almost surely, 2^{3285312137550} is an apocalyptic number.

3285312137550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3285312137550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784765500944).

3285312137550 is an abundant number, since it is smaller than the sum of its proper divisors (6284218864338).

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

3285312137550 is a wasteful number, since it uses less digits than its factorization.

3285312137550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6804 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 3285312137550 in words is "three trillion, two hundred eighty-five billion, three hundred twelve million, one hundred thirty-seven thousand, five hundred fifty".