380069496000 has 672 divisors, whose sum is σ = 1418630810688. Its totient is φ = 100727193600.

The previous prime is 380069495999. The next prime is 380069496029. The reversal of 380069496000 is 694960083.

380069496000 is a `hidden beast` number, since 38 + 0 + 0 + 6 + 9 + 4 + 9 + 600 + 0 = 666.

It is a super-3 number, since 3×380069496000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 375191494 + ... + 375192506.

It is an arithmetic number, because the mean of its divisors is an integer number (2111057754).

Almost surely, 2^380069496000 is an apocalyptic number.

380069496000 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 380069496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709315405344).

380069496000 is an abundant number, since it is smaller than the sum of its proper divisors (1038561314688).

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

380069496000 is a wasteful number, since it uses less digits than its factorization.

380069496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 380069496000 in words is "three hundred eighty billion, sixty-nine million, four hundred ninety-six thousand".