380701125 has 96 divisors (see below), whose sum is σ = 811848960. Its totient is φ = 167932800.

The previous prime is 380701093. The next prime is 380701127. The reversal of 380701125 is 521107083.

It is not a de Polignac number, because 380701125 - 2⁵ = 380701093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380701127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227542 + ... + 229208.

It is an arithmetic number, because the mean of its divisors is an integer number (8456760).

Almost surely, 2^380701125 is an apocalyptic number.

380701125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

380701125 is an abundant number, since it is smaller than the sum of its proper divisors (431147835).

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

380701125 is a wasteful number, since it uses less digits than its factorization.

380701125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 380701125 is about 19511.5638788899. The cubic root of 380701125 is about 724.7608406562.

The spelling of 380701125 in words is "three hundred eighty million, seven hundred one thousand, one hundred twenty-five".