3200732640 has 288 divisors, whose sum is σ = 12886788096. Its totient is φ = 707927040.

The previous prime is 3200732627. The next prime is 3200732641. The reversal of 3200732640 is 462370023.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3200732640² = 20489378865522739200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200732641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307359 + ... + 317601.

It is an arithmetic number, because the mean of its divisors is an integer number (44745792).

Almost surely, 2^3200732640 is an apocalyptic number.

3200732640 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 3200732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443394048).

3200732640 is an abundant number, since it is smaller than the sum of its proper divisors (9686055456).

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

3200732640 is a wasteful number, since it uses less digits than its factorization.

3200732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10302 (or 10291 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3200732640 is about 56575.0178082164. The cubic root of 3200732640 is about 1473.7250520761.

The spelling of 3200732640 in words is "three billion, two hundred million, seven hundred thirty-two thousand, six hundred forty".