381377080 has 128 divisors (see below), whose sum is σ = 1016064000. Its totient is φ = 126120960.

The previous prime is 381377077. The next prime is 381377081. The reversal of 381377080 is 80773183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381377081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1595601 + ... + 1595839.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2^381377080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381377080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032000).

381377080 is an abundant number, since it is smaller than the sum of its proper divisors (634686920).

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

381377080 is a wasteful number, since it uses less digits than its factorization.

381377080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 381377080 is about 19528.8781039772. The cubic root of 381377080 is about 725.1895374443.

The spelling of 381377080 in words is "three hundred eighty-one million, three hundred seventy-seven thousand, eighty".