380235596654592 has 576 divisors, whose sum is σ = 1310596916428800. Its totient is φ = 108609368555520.

The previous prime is 380235596654581. The next prime is 380235596654593. The reversal of 380235596654592 is 295456695532083.

It is a happy number.

380235596654592 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 3 + 559 + 6 + 65 + 4 + 5 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 380235596654592.

It is not an unprimeable number, because it can be changed into a prime (380235596654593) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11252553217 + ... + 11252587007.

It is an arithmetic number, because the mean of its divisors is an integer number (2275341868800).

Almost surely, 2^{380235596654592} is an apocalyptic number.

380235596654592 is a gapful number since it is divisible by the number (32) 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 380235596654592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655298458214400).

380235596654592 is an abundant number, since it is smaller than the sum of its proper divisors (930361319774208).

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

380235596654592 is a wasteful number, since it uses less digits than its factorization.

380235596654592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37989 (or 37956 counting only the distinct ones).

The product of its (nonzero) digits is 2099520000, while the sum is 72.

The spelling of 380235596654592 in words is "three hundred eighty trillion, two hundred thirty-five billion, five hundred ninety-six million, six hundred fifty-four thousand, five hundred ninety-two".