361536032 has 144 divisors (see below), whose sum is σ = 875339136. Its totient is φ = 144844800.

The previous prime is 361536031. The next prime is 361536041. The reversal of 361536032 is 230635163.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 361535986 and 361536004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361536031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7692233 + ... + 7692279.

It is an arithmetic number, because the mean of its divisors is an integer number (6078744).

Almost surely, 2^361536032 is an apocalyptic number.

361536032 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 361536032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437669568).

361536032 is an abundant number, since it is smaller than the sum of its proper divisors (513803104).

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

361536032 is a wasteful number, since it uses less digits than its factorization.

361536032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

The square root of 361536032 is about 19014.1008727733. The cubic root of 361536032 is about 712.3889849402.

The spelling of 361536032 in words is "three hundred sixty-one million, five hundred thirty-six thousand, thirty-two".