363095040 has 352 divisors, whose sum is σ = 1452616704. Its totient is φ = 75202560.

The previous prime is 363095039. The next prime is 363095059. The reversal of 363095040 is 40590363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

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 = 363094989 and 363095007.

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, 1182567 + ... + 1182873.

It is an arithmetic number, because the mean of its divisors is an integer number (4126752).

Almost surely, 2^363095040 is an apocalyptic number.

363095040 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 363095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726308352).

363095040 is an abundant number, since it is smaller than the sum of its proper divisors (1089521664).

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

363095040 is a wasteful number, since it uses less digits than its factorization.

363095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 363095040 is about 19055.0528731883. The cubic root of 363095040 is about 713.4114994748.

The spelling of 363095040 in words is "three hundred sixty-three million, ninety-five thousand, forty".