4638972100 has 135 divisors (see below), whose sum is σ = 11828726637. Its totient is φ = 1579062240.

The previous prime is 4638972083. The next prime is 4638972161. The reversal of 4638972100 is 12798364.

The square root of 4638972100 is 68110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1670029956 + 2968942144 = 40866^2 + 54488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33373831 + ... + 33373969.

Almost surely, 2^4638972100 is an apocalyptic number.

4638972100 is the 68110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4638972100

4638972100 is an abundant number, since it is smaller than the sum of its proper divisors (7189754537).

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

4638972100 is an equidigital number, since it uses as much as digits as its factorization.

4638972100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The cubic root of 4638972100 is about 1667.7870098411.

The spelling of 4638972100 in words is "four billion, six hundred thirty-eight million, nine hundred seventy-two thousand, one hundred".