364688352 has 192 divisors, whose sum is σ = 1287498240. Its totient is φ = 98039808.

The previous prime is 364688351. The next prime is 364688417. The reversal of 364688352 is 253886463.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 364688298 and 364688307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364688351) 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, 101043 + ... + 104589.

It is an arithmetic number, because the mean of its divisors is an integer number (6705720).

Almost surely, 2^364688352 is an apocalyptic number.

364688352 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 364688352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643749120).

364688352 is an abundant number, since it is smaller than the sum of its proper divisors (922809888).

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

364688352 is a wasteful number, since it uses less digits than its factorization.

364688352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3576 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 364688352 is about 19096.8152318652. The cubic root of 364688352 is about 714.4534934176.

The spelling of 364688352 in words is "three hundred sixty-four million, six hundred eighty-eight thousand, three hundred fifty-two".