361943040 has 208 divisors, whose sum is σ = 1193658048. Its totient is φ = 93585408.

The previous prime is 361943017. The next prime is 361943041. The reversal of 361943040 is 40349163.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 361942989 and 361943007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361943041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2641852 + ... + 2641988.

Almost surely, 2^361943040 is an apocalyptic number.

361943040 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 361943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596829024).

361943040 is an abundant number, since it is smaller than the sum of its proper divisors (831715008).

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

361943040 is a wasteful number, since it uses less digits than its factorization.

361943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 361943040 is about 19024.8006559859. The cubic root of 361943040 is about 712.6562144396.

The spelling of 361943040 in words is "three hundred sixty-one million, nine hundred forty-three thousand, forty".