361583040 has 224 divisors, whose sum is σ = 1413296640. Its totient is φ = 76271616.

The previous prime is 361583021. The next prime is 361583071. The reversal of 361583040 is 40385163.

361583040 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 (224).

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 = 361582989 and 361583007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85291 + ... + 89429.

It is an arithmetic number, because the mean of its divisors is an integer number (6309360).

Almost surely, 2^361583040 is an apocalyptic number.

361583040 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 361583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706648320).

361583040 is an abundant number, since it is smaller than the sum of its proper divisors (1051713600).

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

361583040 is a wasteful number, since it uses less digits than its factorization.

361583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 361583040 is about 19015.3369678268. The cubic root of 361583040 is about 712.4198592534.

The spelling of 361583040 in words is "three hundred sixty-one million, five hundred eighty-three thousand, forty".