3286361520 has 240 divisors, whose sum is σ = 11926736640. Its totient is φ = 806160384.

The previous prime is 3286361453. The next prime is 3286361539. The reversal of 3286361520 is 251636823.

It is a happy number.

3286361520 is a `hidden beast` number, since 3 + 2 + 8 + 636 + 15 + 2 + 0 = 666.

3286361520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4483074 + ... + 4483806.

It is an arithmetic number, because the mean of its divisors is an integer number (49694736).

Almost surely, 2^3286361520 is an apocalyptic number.

3286361520 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 3286361520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963368320).

3286361520 is an abundant number, since it is smaller than the sum of its proper divisors (8640375120).

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

3286361520 is a wasteful number, since it uses less digits than its factorization.

3286361520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3286361520 is about 57326.7958288269. The cubic root of 3286361520 is about 1486.7517062989.

The spelling of 3286361520 in words is "three billion, two hundred eighty-six million, three hundred sixty-one thousand, five hundred twenty".