367461542952 has 1024 divisors, whose sum is σ = 1344798720000. Its totient is φ = 90531302400.

The previous prime is 367461542951. The next prime is 367461543049. The reversal of 367461542952 is 259245164763.

It is a happy number.

367461542952 is a `hidden beast` number, since 3 + 6 + 7 + 4 + 6 + 1 + 542 + 95 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (367461542951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2433520077 + ... + 2433520227.

It is an arithmetic number, because the mean of its divisors is an integer number (1313280000).

Almost surely, 2^367461542952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 367461542952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672399360000).

367461542952 is an abundant number, since it is smaller than the sum of its proper divisors (977337177048).

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

367461542952 is a wasteful number, since it uses less digits than its factorization.

367461542952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 367461542952 in words is "three hundred sixty-seven billion, four hundred sixty-one million, five hundred forty-two thousand, nine hundred fifty-two".