3063732672 has 448 divisors, whose sum is σ = 11470233600. Its totient is φ = 695070720.

The previous prime is 3063732643. The next prime is 3063732677. The reversal of 3063732672 is 2762373603.

3063732672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3063732672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3063732677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3651229 + ... + 3652067.

It is an arithmetic number, because the mean of its divisors is an integer number (25603200).

Almost surely, 2^3063732672 is an apocalyptic number.

3063732672 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 3063732672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735116800).

3063732672 is an abundant number, since it is smaller than the sum of its proper divisors (8406500928).

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

3063732672 is a wasteful number, since it uses less digits than its factorization.

3063732672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 39.

The square root of 3063732672 is about 55350.9952214050. The cubic root of 3063732672 is about 1452.3912460999.

The spelling of 3063732672 in words is "three billion, sixty-three million, seven hundred thirty-two thousand, six hundred seventy-two".