389705541696 has 315 divisors, whose sum is σ = 1211652721851. Its totient is φ = 119738829312.

The previous prime is 389705541689. The next prime is 389705541703. The reversal of 389705541696 is 696145507983.

The square root of 389705541696 is 624264.

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

389705541696 is a `hidden beast` number, since 3 + 8 + 9 + 70 + 554 + 1 + 6 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (389705541689) and next prime (389705541703).

It can be written as a sum of positive squares in 2 ways, for example, as 242985900096 + 146719641600 = 492936^2 + 383040^2 .

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, 10532582190 + ... + 10532582226.

Almost surely, 2^389705541696 is an apocalyptic number.

389705541696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

389705541696 is the 624264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389705541696

389705541696 is an abundant number, since it is smaller than the sum of its proper divisors (821947180155).

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

389705541696 is an frugal number, since it uses more digits than its factorization.

389705541696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 389705541696 in words is "three hundred eighty-nine billion, seven hundred five million, five hundred forty-one thousand, six hundred ninety-six".