380310840 has 576 divisors, whose sum is σ = 1644364800. Its totient is φ = 74400768.

The previous prime is 380310803. The next prime is 380310841. The reversal of 380310840 is 48013083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380310841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8091697 + ... + 8091743.

It is an arithmetic number, because the mean of its divisors is an integer number (2854800).

Almost surely, 2^380310840 is an apocalyptic number.

380310840 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 380310840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822182400).

380310840 is an abundant number, since it is smaller than the sum of its proper divisors (1264053960).

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

380310840 is a wasteful number, since it uses less digits than its factorization.

380310840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 380310840 is about 19501.5599376050. The cubic root of 380310840 is about 724.5130872502.

The spelling of 380310840 in words is "three hundred eighty million, three hundred ten thousand, eight hundred forty".