363734496 has 96 divisors (see below), whose sum is σ = 1066776480. Its totient is φ = 120572928.

The previous prime is 363734473. The next prime is 363734507. The reversal of 363734496 is 694437363.

363734496 is a `hidden beast` number, since 3 + 637 + 3 + 4 + 4 + 9 + 6 = 666.

363734496 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 (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169140 + ... + 171276.

It is an arithmetic number, because the mean of its divisors is an integer number (11112255).

Almost surely, 2^363734496 is an apocalyptic number.

363734496 is a gapful number since it is divisible by the number (36) 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 363734496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533388240).

363734496 is an abundant number, since it is smaller than the sum of its proper divisors (703041984).

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

363734496 is a wasteful number, since it uses less digits than its factorization.

363734496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2339 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 363734496 is about 19071.8246636236. The cubic root of 363734496 is about 713.8300562984.

The spelling of 363734496 in words is "three hundred sixty-three million, seven hundred thirty-four thousand, four hundred ninety-six".