363701052 has 288 divisors, whose sum is σ = 1162377216. Its totient is φ = 94348800.

The previous prime is 363701033. The next prime is 363701057. The reversal of 363701052 is 250107363.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363701057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6862258 + ... + 6862310.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032).

Almost surely, 2^363701052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363701052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581188608).

363701052 is an abundant number, since it is smaller than the sum of its proper divisors (798676164).

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

363701052 is a wasteful number, since it uses less digits than its factorization.

363701052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 363701052 is about 19070.9478526894. The cubic root of 363701052 is about 713.8081776439.

The spelling of 363701052 in words is "three hundred sixty-three million, seven hundred one thousand, fifty-two".