3273867072 has 672 divisors, whose sum is σ = 12381707520. Its totient is φ = 836075520.

The previous prime is 3273867059. The next prime is 3273867073. The reversal of 3273867072 is 2707683723.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3273867073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53669922 + ... + 53669982.

It is an arithmetic number, because the mean of its divisors is an integer number (18425160).

Almost surely, 2^3273867072 is an apocalyptic number.

3273867072 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 3273867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190853760).

3273867072 is an abundant number, since it is smaller than the sum of its proper divisors (9107840448).

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

3273867072 is a wasteful number, since it uses less digits than its factorization.

3273867072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 3273867072 is about 57217.7164172077. The cubic root of 3273867072 is about 1484.8651484525.

The spelling of 3273867072 in words is "three billion, two hundred seventy-three million, eight hundred sixty-seven thousand, seventy-two".