3206974680 has 640 divisors, whose sum is σ = 13538448000. Its totient is φ = 662888448.

The previous prime is 3206974627. The next prime is 3206974681. The reversal of 3206974680 is 864796023.

It is a super-2 number, since 2×3206974680² = 20569373196322204800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3206974681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21523246 + ... + 21523394.

It is an arithmetic number, because the mean of its divisors is an integer number (21153825).

Almost surely, 2^3206974680 is an apocalyptic number.

3206974680 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 3206974680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769224000).

3206974680 is an abundant number, since it is smaller than the sum of its proper divisors (10331473320).

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

3206974680 is a wasteful number, since it uses less digits than its factorization.

3206974680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3206974680 is about 56630.1569837132. The cubic root of 3206974680 is about 1474.6824450920.

The spelling of 3206974680 in words is "three billion, two hundred six million, nine hundred seventy-four thousand, six hundred eighty".