361382976 has 84 divisors (see below), whose sum is σ = 1038465792. Its totient is φ = 120155904.

The previous prime is 361382951. The next prime is 361382981. The reversal of 361382976 is 679283163.

361382976 is a `hidden beast` number, since 3 + 613 + 8 + 29 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418321 + ... + 419183.

It is an arithmetic number, because the mean of its divisors is an integer number (12362688).

Almost surely, 2^361382976 is an apocalyptic number.

361382976 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 361382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519232896).

361382976 is an abundant number, since it is smaller than the sum of its proper divisors (677082816).

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

361382976 is a wasteful number, since it uses less digits than its factorization.

361382976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1595 counting only the distinct ones).

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

The square root of 361382976 is about 19010.0756442472. The cubic root of 361382976 is about 712.2884409748.

It can be divided in two parts, 36 and 1382976, that multiplied together give a 4-th power (49787136 = 84⁴).

The spelling of 361382976 in words is "three hundred sixty-one million, three hundred eighty-two thousand, nine hundred seventy-six".