361168416 has 288 divisors, whose sum is σ = 1292760000. Its totient is φ = 97542144.

The previous prime is 361168411. The next prime is 361168439. The reversal of 361168416 is 614861163.

361168416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361168411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804160 + ... + 804608.

It is an arithmetic number, because the mean of its divisors is an integer number (4488750).

Almost surely, 2^361168416 is an apocalyptic number.

361168416 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 361168416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646380000).

361168416 is an abundant number, since it is smaller than the sum of its proper divisors (931591584).

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

361168416 is a wasteful number, since it uses less digits than its factorization.

361168416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 480 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 361168416 is about 19004.4314832094. The cubic root of 361168416 is about 712.1474466339.

It can be divided in two parts, 3611 and 68416, that added together give a palindrome (72027).

The spelling of 361168416 in words is "three hundred sixty-one million, one hundred sixty-eight thousand, four hundred sixteen".