380145870 has 192 divisors, whose sum is σ = 1127153664. Its totient is φ = 88231680.

The previous prime is 380145859. The next prime is 380145877. The reversal of 380145870 is 78541083.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380145877) 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, 1704579 + ... + 1704801.

It is an arithmetic number, because the mean of its divisors is an integer number (5870592).

Almost surely, 2^380145870 is an apocalyptic number.

380145870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380145870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563576832).

380145870 is an abundant number, since it is smaller than the sum of its proper divisors (747007794).

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

380145870 is a wasteful number, since it uses less digits than its factorization.

380145870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 380145870 is about 19497.3298171827. The cubic root of 380145870 is about 724.4083131219.

The spelling of 380145870 in words is "three hundred eighty million, one hundred forty-five thousand, eight hundred seventy".