3200972580 has 240 divisors, whose sum is σ = 11165113344. Its totient is φ = 762359040.

The previous prime is 3200972563. The next prime is 3200972581. The reversal of 3200972580 is 852790023.

It is a happy number.

3200972580 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 9 + 72 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3200972581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 650409 + ... + 655311.

Almost surely, 2^3200972580 is an apocalyptic number.

3200972580 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 3200972580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582556672).

3200972580 is an abundant number, since it is smaller than the sum of its proper divisors (7964140764).

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

3200972580 is a wasteful number, since it uses less digits than its factorization.

3200972580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3200972580 is about 56577.1383157544. The cubic root of 3200972580 is about 1473.7618766403.

The spelling of 3200972580 in words is "three billion, two hundred million, nine hundred seventy-two thousand, five hundred eighty".