3280153968 has 480 divisors, whose sum is σ = 11970789376. Its totient is φ = 846526464.

The previous prime is 3280153951. The next prime is 3280153979. The reversal of 3280153968 is 8693510823.

It is a happy number.

3280153968 is a `hidden beast` number, since 32 + 80 + 1 + 539 + 6 + 8 = 666.

It is a super-2 number, since 2×3280153968² = 21518820107572290048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25827921 + ... + 25828047.

Almost surely, 2^3280153968 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 3280153968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985394688).

3280153968 is an abundant number, since it is smaller than the sum of its proper divisors (8690635408).

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

3280153968 is a wasteful number, since it uses less digits than its factorization.

3280153968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3280153968 is about 57272.6284362784. The cubic root of 3280153968 is about 1485.8150163389.

The spelling of 3280153968 in words is "three billion, two hundred eighty million, one hundred fifty-three thousand, nine hundred sixty-eight".