383396256100 has 243 divisors, whose sum is σ = 992527163649. Its totient is φ = 128395238400.

The previous prime is 383396256073. The next prime is 383396256101. The reversal of 383396256100 is 1652693383.

The square root of 383396256100 is 619190.

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

It can be written as a sum of positive squares in 13 ways, for example, as 369574021476 + 13822234624 = 607926^2 + 117568^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (383396256101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 885441484 + ... + 885441916.

Almost surely, 2^383396256100 is an apocalyptic number.

383396256100 is the 619190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383396256100

383396256100 is an abundant number, since it is smaller than the sum of its proper divisors (609130907549).

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

383396256100 is a wasteful number, since it uses less digits than its factorization.

383396256100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 383396256100 in words is "three hundred eighty-three billion, three hundred ninety-six million, two hundred fifty-six thousand, one hundred".