361064032 has 48 divisors (see below), whose sum is σ = 814544640. Its totient is φ = 154332288.

The previous prime is 361064029. The next prime is 361064069. The reversal of 361064032 is 230460163.

It is a junction number, because it is equal to n+sod(n) for n = 361063988 and 361064006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91933 + ... + 95779.

It is an arithmetic number, because the mean of its divisors is an integer number (16969680).

Almost surely, 2^361064032 is an apocalyptic number.

361064032 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 361064032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407272320).

361064032 is an abundant number, since it is smaller than the sum of its proper divisors (453480608).

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

361064032 is a wasteful number, since it uses less digits than its factorization.

361064032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 361064032 is about 19001.6849779171. The cubic root of 361064032 is about 712.0788323268.

The spelling of 361064032 in words is "three hundred sixty-one million, sixty-four thousand, thirty-two".