381639772900 has 81 divisors (see below), whose sum is σ = 835474606281. Its totient is φ = 151319054880.

The previous prime is 381639772897. The next prime is 381639772999. The reversal of 381639772900 is 9277936183.

It is a happy number.

The square root of 381639772900 is 617770.

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., 137390318244 + 244249454656 = 370662^2 + 494216^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1006964911 + ... + 1006965289.

Almost surely, 2^381639772900 is an apocalyptic number.

381639772900 is the 617770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381639772900

381639772900 is an abundant number, since it is smaller than the sum of its proper divisors (453834833381).

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

381639772900 is an equidigital number, since it uses as much as digits as its factorization.

381639772900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 55.

The spelling of 381639772900 in words is "three hundred eighty-one billion, six hundred thirty-nine million, seven hundred seventy-two thousand, nine hundred".