380185152 has 56 divisors (see below), whose sum is σ = 1018068576. Its totient is φ = 125196288.

The previous prime is 380185129. The next prime is 380185153. The reversal of 380185152 is 251581083.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (380185153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4008 + ... + 27864.

It is an arithmetic number, because the mean of its divisors is an integer number (18179796).

Almost surely, 2^380185152 is an apocalyptic number.

380185152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380185152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509034288).

380185152 is an abundant number, since it is smaller than the sum of its proper divisors (637883424).

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

380185152 is a wasteful number, since it uses less digits than its factorization.

380185152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23955 (or 23945 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 380185152 is about 19498.3371598708. The cubic root of 380185152 is about 724.4332642696.

It can be divided in two parts, 3801851 and 52, that added together give a triangular number (3801903 = T₂₇₅₇).

The spelling of 380185152 in words is "three hundred eighty million, one hundred eighty-five thousand, one hundred fifty-two".