361364976 has 200 divisors, whose sum is σ = 1216764384. Its totient is φ = 101399040.

The previous prime is 361364953. The next prime is 361364987. The reversal of 361364976 is 679463163.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 553066 + ... + 553718.

Almost surely, 2^361364976 is an apocalyptic number.

361364976 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 361364976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608382192).

361364976 is an abundant number, since it is smaller than the sum of its proper divisors (855399408).

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

361364976 is a wasteful number, since it uses less digits than its factorization.

361364976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 726 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 361364976 is about 19009.6022052015. The cubic root of 361364976 is about 712.2766147354.

The spelling of 361364976 in words is "three hundred sixty-one million, three hundred sixty-four thousand, nine hundred seventy-six".