361505632 has 48 divisors (see below), whose sum is σ = 737396352. Its totient is φ = 174274560.

The previous prime is 361505621. The next prime is 361505671. The reversal of 361505632 is 236505163.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 361505594 and 361505603.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 369528 + ... + 370504.

It is an arithmetic number, because the mean of its divisors is an integer number (15362424).

Almost surely, 2^361505632 is an apocalyptic number.

361505632 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 361505632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368698176).

361505632 is an abundant number, since it is smaller than the sum of its proper divisors (375890720).

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

361505632 is a wasteful number, since it uses less digits than its factorization.

361505632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 361505632 is about 19013.3014492486. The cubic root of 361505632 is about 712.3690171451.

The spelling of 361505632 in words is "three hundred sixty-one million, five hundred five thousand, six hundred thirty-two".