361958976 has 224 divisors, whose sum is σ = 1141171200. Its totient is φ = 112250880.

The previous prime is 361958957. The next prime is 361958983. The reversal of 361958976 is 679859163.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a cake number, because a cake can be divided into 361958976 parts by 1295 planar cuts.

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 31 ways as a sum of consecutive naturals, for example, 1553356 + ... + 1553588.

Almost surely, 2^361958976 is an apocalyptic number.

361958976 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 361958976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570585600).

361958976 is an abundant number, since it is smaller than the sum of its proper divisors (779212224).

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

361958976 is a wasteful number, since it uses less digits than its factorization.

361958976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 361958976 is about 19025.2194731099. The cubic root of 361958976 is about 712.6666734728. Note that the first 4 decimals are identical.

The spelling of 361958976 in words is "three hundred sixty-one million, nine hundred fifty-eight thousand, nine hundred seventy-six".