361928736 has 240 divisors, whose sum is σ = 1198701504. Its totient is φ = 106292736.

The previous prime is 361928711. The next prime is 361928737. The reversal of 361928736 is 637829163.

361928736 is a `hidden beast` number, since 3 + 619 + 28 + 7 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 361928691 and 361928700.

It is not an unprimeable number, because it can be changed into a prime (361928737) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 774775 + ... + 775241.

Almost surely, 2^361928736 is an apocalyptic number.

361928736 is a gapful number since it is divisible by the number (36) 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 361928736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599350752).

361928736 is an abundant number, since it is smaller than the sum of its proper divisors (836772768).

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

361928736 is a wasteful number, since it uses less digits than its factorization.

361928736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 508 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 361928736 is about 19024.4247219200. The cubic root of 361928736 is about 712.6468262508.

The spelling of 361928736 in words is "three hundred sixty-one million, nine hundred twenty-eight thousand, seven hundred thirty-six".