361373760 has 504 divisors, whose sum is σ = 1470327768. Its totient is φ = 81100800.

The previous prime is 361373759. The next prime is 361373767. The reversal of 361373760 is 67373163.

361373760 is a `hidden beast` number, since 3 + 613 + 7 + 37 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10036224 + 351337536 = 3168^2 + 18744^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361373767) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5924130 + ... + 5924190.

It is an arithmetic number, because the mean of its divisors is an integer number (2917317).

Almost surely, 2^361373760 is an apocalyptic number.

361373760 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 361373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735163884).

361373760 is an abundant number, since it is smaller than the sum of its proper divisors (1108954008).

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

361373760 is a wasteful number, since it uses less digits than its factorization.

361373760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The square root of 361373760 is about 19009.8332449288. The cubic root of 361373760 is about 712.2823859893.

The spelling of 361373760 in words is "three hundred sixty-one million, three hundred seventy-three thousand, seven hundred sixty".