3285873501120 has 420 divisors, whose sum is σ = 13596750489960. Its totient is φ = 751056509952.

The previous prime is 3285873501107. The next prime is 3285873501143. The reversal of 3285873501120 is 211053785823.

3285873501120 is a `hidden beast` number, since 3 + 2 + 8 + 58 + 73 + 501 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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 59 ways as a sum of consecutive naturals, for example, 23490 + ... + 2563649.

Almost surely, 2^{3285873501120} is an apocalyptic number.

3285873501120 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 3285873501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798375244980).

3285873501120 is an abundant number, since it is smaller than the sum of its proper divisors (10310876988840).

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

3285873501120 is a wasteful number, since it uses less digits than its factorization.

3285873501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587182 (or 2587156 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 3285873501120 in words is "three trillion, two hundred eighty-five billion, eight hundred seventy-three million, five hundred one thousand, one hundred twenty".