361748920 has 64 divisors (see below), whose sum is σ = 904861440. Its totient is φ = 129254400.

The previous prime is 361748909. The next prime is 361748921. The reversal of 361748920 is 29847163.

It is a super-2 number, since 2×361748920² = 261724562242332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361748921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4900 + ... + 27340.

It is an arithmetic number, because the mean of its divisors is an integer number (14138460).

Almost surely, 2^361748920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361748920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452430720).

361748920 is an abundant number, since it is smaller than the sum of its proper divisors (543112520).

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

361748920 is a wasteful number, since it uses less digits than its factorization.

361748920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22496 (or 22492 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 361748920 is about 19019.6982100137. The cubic root of 361748920 is about 712.5287859510.

The spelling of 361748920 in words is "three hundred sixty-one million, seven hundred forty-eight thousand, nine hundred twenty".