361806720 has 256 divisors, whose sum is σ = 1294894080. Its totient is φ = 85155840.

The previous prime is 361806701. The next prime is 361806737. The reversal of 361806720 is 27608163.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781209 + ... + 781671.

It is an arithmetic number, because the mean of its divisors is an integer number (5058180).

Almost surely, 2^361806720 is an apocalyptic number.

361806720 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 361806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647447040).

361806720 is an abundant number, since it is smaller than the sum of its proper divisors (933087360).

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

361806720 is a wasteful number, since it uses less digits than its factorization.

361806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 361806720 is about 19021.2176266400. The cubic root of 361806720 is about 712.5667330540.

It can be divided in two parts, 361806 and 720, that added together give a triangular number (362526 = T₈₅₁).

The spelling of 361806720 in words is "three hundred sixty-one million, eight hundred six thousand, seven hundred twenty".