3285067968 has 336 divisors, whose sum is σ = 11958888960. Its totient is φ = 865852416.

The previous prime is 3285067957. The next prime is 3285067993. The reversal of 3285067968 is 8697605823.

3285067968 = T₃₃₇ + T₃₃₈ + ... + T₂₇₀₂.

It is a happy number.

3285067968 is a `hidden beast` number, since 3 + 2 + 8 + 506 + 79 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2043421 + ... + 2045027.

Almost surely, 2^3285067968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3285067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979444480).

3285067968 is an abundant number, since it is smaller than the sum of its proper divisors (8673820992).

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

3285067968 is a wasteful number, since it uses less digits than its factorization.

3285067968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 3285067968 is about 57315.5124551809. The cubic root of 3285067968 is about 1486.5566128278.

The spelling of 3285067968 in words is "three billion, two hundred eighty-five million, sixty-seven thousand, nine hundred sixty-eight".