380923496100 has 243 divisors, whose sum is σ = 1389392366817. Its totient is φ = 87038602560.

The previous prime is 380923496087. The next prime is 380923496117. The reversal of 380923496100 is 1694329083.

It is a happy number.

The square root of 380923496100 is 617190.

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

380923496100 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 23 + 4 + 9 + 610 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 137132458596 + 243791037504 = 370314^2 + 493752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 129608431 + ... + 129611369.

Almost surely, 2^380923496100 is an apocalyptic number.

380923496100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

380923496100 is the 617190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380923496100

380923496100 is an abundant number, since it is smaller than the sum of its proper divisors (1008468870717).

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

380923496100 is a wasteful number, since it uses less digits than its factorization.

380923496100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5912 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 380923496100 in words is "three hundred eighty billion, nine hundred twenty-three million, four hundred ninety-six thousand, one hundred".