361959840 has 240 divisors, whose sum is σ = 1394094240. Its totient is φ = 87713280.

The previous prime is 361959839. The next prime is 361959877. The reversal of 361959840 is 48959163.

It is a happy number.

361959840 is a `hidden beast` number, since 3 + 6 + 19 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 141291 + ... + 143829.

It is an arithmetic number, because the mean of its divisors is an integer number (5808726).

Almost surely, 2^361959840 is an apocalyptic number.

361959840 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 361959840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697047120).

361959840 is an abundant number, since it is smaller than the sum of its proper divisors (1032134400).

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

361959840 is a wasteful number, since it uses less digits than its factorization.

361959840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 361959840 is about 19025.2421797989. The cubic root of 361959840 is about 712.6672405200.

The spelling of 361959840 in words is "three hundred sixty-one million, nine hundred fifty-nine thousand, eight hundred forty".