363496896 has 336 divisors, whose sum is σ = 1282171680. Its totient is φ = 101896704.

The previous prime is 363496891. The next prime is 363496897. The reversal of 363496896 is 698694363.

It is a happy number.

363496896 is a `hidden beast` number, since 3 + 63 + 496 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363496891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6858406 + ... + 6858458.

Almost surely, 2^363496896 is an apocalyptic number.

363496896 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 363496896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641085840).

363496896 is an abundant number, since it is smaller than the sum of its proper divisors (918674784).

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

363496896 is an frugal number, since it uses more digits than its factorization.

363496896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 363496896 is about 19065.5945619328. The cubic root of 363496896 is about 713.6745922013.

The spelling of 363496896 in words is "three hundred sixty-three million, four hundred ninety-six thousand, eight hundred ninety-six".