361071840 has 96 divisors (see below), whose sum is σ = 1204308000. Its totient is φ = 90619904.

The previous prime is 361071761. The next prime is 361071847. The reversal of 361071840 is 48170163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 361071798 and 361071807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361071847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13965 + ... + 30284.

It is an arithmetic number, because the mean of its divisors is an integer number (12544875).

Almost surely, 2^361071840 is an apocalyptic number.

361071840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361071840 is an abundant number, since it is smaller than the sum of its proper divisors (843236160).

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

361071840 is a wasteful number, since it uses less digits than its factorization.

361071840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44284 (or 44276 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 361071840 is about 19001.8904322702. The cubic root of 361071840 is about 712.0839651850.

The spelling of 361071840 in words is "three hundred sixty-one million, seventy-one thousand, eight hundred forty".