361629136 has 80 divisors (see below), whose sum is σ = 799948800. Its totient is φ = 156873600.

The previous prime is 361629119. The next prime is 361629137. The reversal of 361629136 is 631926163.

It is a junction number, because it is equal to n+sod(n) for n = 361629095 and 361629104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361629137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430605 + ... + 431443.

It is an arithmetic number, because the mean of its divisors is an integer number (9999360).

Almost surely, 2^361629136 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 361629136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399974400).

361629136 is an abundant number, since it is smaller than the sum of its proper divisors (438319664).

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

361629136 is a wasteful number, since it uses less digits than its factorization.

361629136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its digits is 34992, while the sum is 37.

The square root of 361629136 is about 19016.5490034338. The cubic root of 361629136 is about 712.4501319771.

The spelling of 361629136 in words is "three hundred sixty-one million, six hundred twenty-nine thousand, one hundred thirty-six".