361852416 has 120 divisors (see below), whose sum is σ = 1099561320. Its totient is φ = 114241536.

The previous prime is 361852391. The next prime is 361852433. The reversal of 361852416 is 614258163.

It is a happy number.

361852416 is a `hidden beast` number, since 3 + 618 + 5 + 24 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 85486 + ... + 89618.

It is an arithmetic number, because the mean of its divisors is an integer number (9163011).

Almost surely, 2^361852416 is an apocalyptic number.

361852416 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 361852416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549780660).

361852416 is an abundant number, since it is smaller than the sum of its proper divisors (737708904).

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

361852416 is a wasteful number, since it uses less digits than its factorization.

361852416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4157 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 361852416 is about 19022.4187736471. The cubic root of 361852416 is about 712.5967307267.

The spelling of 361852416 in words is "three hundred sixty-one million, eight hundred fifty-two thousand, four hundred sixteen".