380356068600 has 384 divisors, whose sum is σ = 1354213324800. Its totient is φ = 98023219200.

The previous prime is 380356068571. The next prime is 380356068601. The reversal of 380356068600 is 6860653083.

380356068600 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 560 + 6 + 86 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380356068601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203724867 + ... + 203726733.

It is an arithmetic number, because the mean of its divisors is an integer number (3526597200).

Almost surely, 2^380356068600 is an apocalyptic number.

380356068600 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 380356068600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677106662400).

380356068600 is an abundant number, since it is smaller than the sum of its proper divisors (973857256200).

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

380356068600 is a wasteful number, since it uses less digits than its factorization.

380356068600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 380356068600 in words is "three hundred eighty billion, three hundred fifty-six million, sixty-eight thousand, six hundred".