380960640 has 288 divisors, whose sum is σ = 1408609800. Its totient is φ = 94611456.

The previous prime is 380960611. The next prime is 380960663. The reversal of 380960640 is 46069083.

380960640 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 380960595 and 380960604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6456931 + ... + 6456989.

Almost surely, 2^380960640 is an apocalyptic number.

380960640 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 380960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704304900).

380960640 is an abundant number, since it is smaller than the sum of its proper divisors (1027649160).

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

380960640 is a wasteful number, since it uses less digits than its factorization.

380960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 380960640 is about 19518.2130329598. The cubic root of 380960640 is about 724.9254873877.

The spelling of 380960640 in words is "three hundred eighty million, nine hundred sixty thousand, six hundred forty".