380280045600 has 1728 divisors, whose sum is σ = 1724703611904. Its totient is φ = 76715458560.

The previous prime is 380280045581. The next prime is 380280045601. The reversal of 380280045600 is 6540082083.

380280045600 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 8 + 0 + 0 + 45 + 600 = 666.

It is a super-2 number, since 2×380280045600² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (380280045601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1632103084 + ... + 1632103316.

It is an arithmetic number, because the mean of its divisors is an integer number (998092368).

Almost surely, 2^380280045600 is an apocalyptic number.

380280045600 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 380280045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862351805952).

380280045600 is an abundant number, since it is smaller than the sum of its proper divisors (1344423566304).

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

380280045600 is a wasteful number, since it uses less digits than its factorization.

380280045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 380280045600 in words is "three hundred eighty billion, two hundred eighty million, forty-five thousand, six hundred".