4386638970 has 256 divisors, whose sum is σ = 13855104000. Its totient is φ = 966712320.

The previous prime is 4386638951. The next prime is 4386639053. The reversal of 4386638970 is 798366834.

4386638970 is a `hidden beast` number, since 438 + 6 + 63 + 89 + 70 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 10419360 + ... + 10419780.

It is an arithmetic number, because the mean of its divisors is an integer number (54121500).

Almost surely, 2^4386638970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4386638970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927552000).

4386638970 is an abundant number, since it is smaller than the sum of its proper divisors (9468465030).

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

4386638970 is a wasteful number, since it uses less digits than its factorization.

4386638970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4386638970 is about 66231.7066819209. The cubic root of 4386638970 is about 1636.9822267577.

The spelling of 4386638970 in words is "four billion, three hundred eighty-six million, six hundred thirty-eight thousand, nine hundred seventy".