363041952 has 192 divisors, whose sum is σ = 1214196480. Its totient is φ = 92381184.

The previous prime is 363041951. The next prime is 363041969. The reversal of 363041952 is 259140363.

It is not an unprimeable number, because it can be changed into a prime (363041951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252628 + ... + 254060.

It is an arithmetic number, because the mean of its divisors is an integer number (6323940).

Almost surely, 2^363041952 is an apocalyptic number.

363041952 is a gapful number since it is divisible by the number (32) 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 363041952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607098240).

363041952 is an abundant number, since it is smaller than the sum of its proper divisors (851154528).

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

363041952 is a wasteful number, since it uses less digits than its factorization.

363041952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 363041952 is about 19053.6598059270. The cubic root of 363041952 is about 713.3767285641.

The spelling of 363041952 in words is "three hundred sixty-three million, forty-one thousand, nine hundred fifty-two".