363716640 has 144 divisors (see below), whose sum is σ = 1418534208. Its totient is φ = 83132928.

The previous prime is 363716629. The next prime is 363716657. The reversal of 363716640 is 46617363.

It is a happy number.

363716640 is a `hidden beast` number, since 3 + 6 + 3 + 7 + 1 + 6 + 640 = 666.

363716640 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 363716595 and 363716604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7962 + ... + 28121.

It is an arithmetic number, because the mean of its divisors is an integer number (9850932).

Almost surely, 2^363716640 is an apocalyptic number.

363716640 is a gapful number since it is divisible by the number (30) 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 363716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709267104).

363716640 is an abundant number, since it is smaller than the sum of its proper divisors (1054817568).

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

363716640 is a wasteful number, since it uses less digits than its factorization.

363716640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36111 (or 36100 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 363716640 is about 19071.3565327692. The cubic root of 363716640 is about 713.8183752891.

It can be divided in two parts, 363 and 716640, that added together give a triangular number (717003 = T₁₁₉₇).

The spelling of 363716640 in words is "three hundred sixty-three million, seven hundred sixteen thousand, six hundred forty".