360743040 has 384 divisors, whose sum is σ = 1489363200. Its totient is φ = 78667776.

The previous prime is 360743029. The next prime is 360743099. The reversal of 360743040 is 40347063.

360743040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×360743040³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 360742995 and 360743013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927166 + ... + 927554.

It is an arithmetic number, because the mean of its divisors is an integer number (3878550).

Almost surely, 2^360743040 is an apocalyptic number.

360743040 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 360743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744681600).

360743040 is an abundant number, since it is smaller than the sum of its proper divisors (1128620160).

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

360743040 is a wasteful number, since it uses less digits than its factorization.

360743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 360743040 is about 18993.2366909908. The cubic root of 360743040 is about 711.8677530755.

The spelling of 360743040 in words is "three hundred sixty million, seven hundred forty-three thousand, forty".