3293085312 has 192 divisors, whose sum is σ = 10412176320. Its totient is φ = 990720000.

The previous prime is 3293085311. The next prime is 3293085319. The reversal of 3293085312 is 2135803923.

3293085312 is a `hidden beast` number, since 32 + 9 + 308 + 5 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3293085312² = 21688821744220274688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3293085311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1912612 + ... + 1914332.

It is an arithmetic number, because the mean of its divisors is an integer number (54230085).

Almost surely, 2^3293085312 is an apocalyptic number.

3293085312 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 3293085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206088160).

3293085312 is an abundant number, since it is smaller than the sum of its proper divisors (7119091008).

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

3293085312 is a wasteful number, since it uses less digits than its factorization.

3293085312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3293085312 is about 57385.4102712527. The cubic root of 3293085312 is about 1487.7649646115.

The spelling of 3293085312 in words is "three billion, two hundred ninety-three million, eighty-five thousand, three hundred twelve".