364096824 has 128 divisors (see below), whose sum is σ = 1146647040. Its totient is φ = 93768192.

The previous prime is 364096823. The next prime is 364096853. The reversal of 364096824 is 428690463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364096823) 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, 91974 + ... + 95850.

It is an arithmetic number, because the mean of its divisors is an integer number (8958180).

Almost surely, 2^364096824 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 364096824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573323520).

364096824 is an abundant number, since it is smaller than the sum of its proper divisors (782550216).

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

364096824 is a wasteful number, since it uses less digits than its factorization.

364096824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 364096824 is about 19081.3213378948. The cubic root of 364096824 is about 714.0670009076.

The spelling of 364096824 in words is "three hundred sixty-four million, ninety-six thousand, eight hundred twenty-four".