380182161600 has 336 divisors, whose sum is σ = 1446165296640. Its totient is φ = 96973747200.

The previous prime is 380182161589. The next prime is 380182161647. The reversal of 380182161600 is 6161281083.

380182161600 is a `hidden beast` number, since 3 + 8 + 0 + 18 + 21 + 616 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802285 + ... + 1184915.

Almost surely, 2^380182161600 is an apocalyptic number.

380182161600 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 380182161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723082648320).

380182161600 is an abundant number, since it is smaller than the sum of its proper divisors (1065983135040).

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

380182161600 is a wasteful number, since it uses less digits than its factorization.

380182161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382685 (or 382664 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 380182161600 in words is "three hundred eighty billion, one hundred eighty-two million, one hundred sixty-one thousand, six hundred".