3212608672 has 96 divisors (see below), whose sum is σ = 7950362112. Its totient is φ = 1243828224.

The previous prime is 3212608667. The next prime is 3212608681. The reversal of 3212608672 is 2768062123.

3212608672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125128 + ... + 148600.

It is an arithmetic number, because the mean of its divisors is an integer number (82816272).

Almost surely, 2^3212608672 is an apocalyptic number.

3212608672 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 3212608672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975181056).

3212608672 is an abundant number, since it is smaller than the sum of its proper divisors (4737753440).

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

3212608672 is a wasteful number, since it uses less digits than its factorization.

3212608672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23550 (or 23542 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 3212608672 is about 56679.8788989532. The cubic root of 3212608672 is about 1475.5455106828.

The spelling of 3212608672 in words is "three billion, two hundred twelve million, six hundred eight thousand, six hundred seventy-two".