364842100 has 288 divisors, whose sum is σ = 1055932416. Its totient is φ = 106444800.

The previous prime is 364842041. The next prime is 364842103. The reversal of 364842100 is 1248463.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364842103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8484679 + ... + 8484721.

It is an arithmetic number, because the mean of its divisors is an integer number (3666432).

Almost surely, 2^364842100 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 364842100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527966208).

364842100 is an abundant number, since it is smaller than the sum of its proper divisors (691090316).

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

364842100 is a wasteful number, since it uses less digits than its factorization.

364842100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 364842100 is about 19100.8402956519. The cubic root of 364842100 is about 714.5538808326.

The spelling of 364842100 in words is "three hundred sixty-four million, eight hundred forty-two thousand, one hundred".