363726720 has 512 divisors, whose sum is σ = 1535385600. Its totient is φ = 79626240.

The previous prime is 363726697. The next prime is 363726793. The reversal of 363726720 is 27627363.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3749712 + ... + 3749808.

It is an arithmetic number, because the mean of its divisors is an integer number (2998800).

Almost surely, 2^363726720 is an apocalyptic number.

363726720 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 363726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767692800).

363726720 is an abundant number, since it is smaller than the sum of its proper divisors (1171658880).

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

363726720 is a wasteful number, since it uses less digits than its factorization.

363726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 363726720 is about 19071.6208015994. The cubic root of 363726720 is about 713.8249694543.

The spelling of 363726720 in words is "three hundred sixty-three million, seven hundred twenty-six thousand, seven hundred twenty".