3207886920 has 384 divisors, whose sum is σ = 12343968000. Its totient is φ = 722082816.

The previous prime is 3207886873. The next prime is 3207886933. The reversal of 3207886920 is 296887023.

3207886920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10248684 + ... + 10248996.

It is an arithmetic number, because the mean of its divisors is an integer number (32145750).

Almost surely, 2^3207886920 is an apocalyptic number.

3207886920 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 3207886920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171984000).

3207886920 is an abundant number, since it is smaller than the sum of its proper divisors (9136081080).

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

3207886920 is a wasteful number, since it uses less digits than its factorization.

3207886920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3207886920 is about 56638.2107768245. The cubic root of 3207886920 is about 1474.8222587703.

The spelling of 3207886920 in words is "three billion, two hundred seven million, eight hundred eighty-six thousand, nine hundred twenty".