361101240 has 160 divisors (see below), whose sum is σ = 1234926000. Its totient is φ = 94611456.

The previous prime is 361101239. The next prime is 361101253. The reversal of 361101240 is 42101163.

It is a happy number.

361101240 is a `hidden beast` number, since 3 + 611 + 0 + 12 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 190216 + ... + 192104.

Almost surely, 2^361101240 is an apocalyptic number.

361101240 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 361101240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617463000).

361101240 is an abundant number, since it is smaller than the sum of its proper divisors (873824760).

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

361101240 is a wasteful number, since it uses less digits than its factorization.

361101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 361101240 is about 19002.6640237626. The cubic root of 361101240 is about 712.1032916256.

The spelling of 361101240 in words is "three hundred sixty-one million, one hundred one thousand, two hundred forty".