3273467904 has 240 divisors, whose sum is σ = 11178367200. Its totient is φ = 934944768.

The previous prime is 3273467881. The next prime is 3273467917. The reversal of 3273467904 is 4097643723.

3273467904 is a `hidden beast` number, since 32 + 73 + 467 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3273467904.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1159807 + ... + 1162625.

It is an arithmetic number, because the mean of its divisors is an integer number (46576530).

Almost surely, 2^3273467904 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 3273467904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5589183600).

3273467904 is an abundant number, since it is smaller than the sum of its proper divisors (7904899296).

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

3273467904 is an equidigital number, since it uses as much as digits as its factorization.

3273467904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3273467904 is about 57214.2281604847. The cubic root of 3273467904 is about 1484.8047983396.

The spelling of 3273467904 in words is "three billion, two hundred seventy-three million, four hundred sixty-seven thousand, nine hundred four".