361742010 has 96 divisors (see below), whose sum is σ = 1024062912. Its totient is φ = 81527040.

The previous prime is 361742009. The next prime is 361742011. The reversal of 361742010 is 10247163.

It is an interprime number because it is at equal distance from previous prime (361742009) and next prime (361742011).

It is not an unprimeable number, because it can be changed into a prime (361742011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105625 + ... + 108995.

It is an arithmetic number, because the mean of its divisors is an integer number (10667322).

Almost surely, 2^361742010 is an apocalyptic number.

361742010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 361742010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512031456).

361742010 is an abundant number, since it is smaller than the sum of its proper divisors (662320902).

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

361742010 is a wasteful number, since it uses less digits than its factorization.

361742010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 361742010 is about 19019.5165553702. The cubic root of 361742010 is about 712.5242490978.

Adding to 361742010 its reverse (10247163), we get a palindrome (371989173).

It can be divided in two parts, 361 and 742010, that added together give a triangular number (742371 = T₁₂₁₈).

The spelling of 361742010 in words is "three hundred sixty-one million, seven hundred forty-two thousand, ten".