364098840 has 128 divisors (see below), whose sum is σ = 1258536960. Its totient is φ = 82543104.

The previous prime is 364098829. The next prime is 364098893. The reversal of 364098840 is 48890463.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 364098792 and 364098801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104974 + ... + 108386.

It is an arithmetic number, because the mean of its divisors is an integer number (9832320).

Almost surely, 2^364098840 is an apocalyptic number.

364098840 is a gapful number since it is divisible by the number (30) 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 364098840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629268480).

364098840 is an abundant number, since it is smaller than the sum of its proper divisors (894438120).

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

364098840 is a wasteful number, since it uses less digits than its factorization.

364098840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 364098840 is about 19081.3741643520. The cubic root of 364098840 is about 714.0683188321.

The spelling of 364098840 in words is "three hundred sixty-four million, ninety-eight thousand, eight hundred forty".