3258216192 has 432 divisors, whose sum is σ = 11676897792. Its totient is φ = 794787840.

The previous prime is 3258216151. The next prime is 3258216229. The reversal of 3258216192 is 2916128523.

It is a self number, because there is not a number n which added to its sum of digits gives 3258216192.

It is a congruent number.

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, 7036953 + ... + 7037415.

It is an arithmetic number, because the mean of its divisors is an integer number (27029856).

Almost surely, 2^3258216192 is an apocalyptic number.

3258216192 is a gapful number since it is divisible by the number (32) 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 3258216192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838448896).

3258216192 is an abundant number, since it is smaller than the sum of its proper divisors (8418681600).

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

3258216192 is a wasteful number, since it uses less digits than its factorization.

3258216192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 503 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 3258216192 is about 57080.7865397806. The cubic root of 3258216192 is about 1482.4952113269.

The spelling of 3258216192 in words is "three billion, two hundred fifty-eight million, two hundred sixteen thousand, one hundred ninety-two".