380354849280 has 800 divisors, whose sum is σ = 1624761794304. Its totient is φ = 83151028224.

The previous prime is 380354849227. The next prime is 380354849327. The reversal of 380354849280 is 82948453083.

380354849280 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 548 + 4 + 92 + 8 + 0 = 666.

It is a super-2 number, since 2×380354849280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33379264 + ... + 33390656.

Almost surely, 2^380354849280 is an apocalyptic number.

380354849280 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 380354849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812380897152).

380354849280 is an abundant number, since it is smaller than the sum of its proper divisors (1244406945024).

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

380354849280 is a wasteful number, since it uses less digits than its factorization.

380354849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11458 (or 11433 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 380354849280 in words is "three hundred eighty billion, three hundred fifty-four million, eight hundred forty-nine thousand, two hundred eighty".