380741760 has 576 divisors, whose sum is σ = 1632571200. Its totient is φ = 81285120.

The previous prime is 380741759. The next prime is 380741761. The reversal of 380741760 is 67147083.

It is an interprime number because it is at equal distance from previous prime (380741759) and next prime (380741761).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (380741761) 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 71 ways as a sum of consecutive naturals, for example, 5362525 + ... + 5362595.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325).

Almost surely, 2^380741760 is an apocalyptic number.

380741760 is a gapful number since it is divisible by the number (30) 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 380741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816285600).

380741760 is an abundant number, since it is smaller than the sum of its proper divisors (1251829440).

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

380741760 is a wasteful number, since it uses less digits than its factorization.

380741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 380741760 is about 19512.6051566673. The cubic root of 380741760 is about 724.7866260708.

It can be divided in two parts, 380741 and 760, that added together give a triangular number (381501 = T₈₇₃).

The spelling of 380741760 in words is "three hundred eighty million, seven hundred forty-one thousand, seven hundred sixty".