3200672160 has 216 divisors, whose sum is σ = 12705805476. Its totient is φ = 731566080.

The previous prime is 3200672149. The next prime is 3200672171. The reversal of 3200672160 is 612760023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3200672149) and next prime (3200672171).

It can be written as a sum of positive squares in 2 ways, for example, as 2651426064 + 549246096 = 51492^2 + 23436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47880 + ... + 93240.

Almost surely, 2^3200672160 is an apocalyptic number.

3200672160 is a gapful number since it is divisible by the number (30) 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 3200672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352902738).

3200672160 is an abundant number, since it is smaller than the sum of its proper divisors (9505133316).

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

3200672160 is a wasteful number, since it uses less digits than its factorization.

3200672160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45396 (or 45378 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3200672160 is about 56574.4832941495. The cubic root of 3200672160 is about 1473.7157696750.

The spelling of 3200672160 in words is "three billion, two hundred million, six hundred seventy-two thousand, one hundred sixty".