3285191520 has 960 divisors, whose sum is σ = 14015586816. Its totient is φ = 716636160.

The previous prime is 3285191519. The next prime is 3285191521. The reversal of 3285191520 is 251915823.

It is an interprime number because it is at equal distance from previous prime (3285191519) and next prime (3285191521).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285191521) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88788942 + ... + 88788978.

Almost surely, 2^3285191520 is an apocalyptic number.

3285191520 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 3285191520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007793408).

3285191520 is an abundant number, since it is smaller than the sum of its proper divisors (10730395296).

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

3285191520 is a wasteful number, since it uses less digits than its factorization.

3285191520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 3285191520 is about 57316.5902684380. The cubic root of 3285191520 is about 1486.5752491484.

The spelling of 3285191520 in words is "three billion, two hundred eighty-five million, one hundred ninety-one thousand, five hundred twenty".