364106340 has 336 divisors, whose sum is σ = 1318787568. Its totient is φ = 83607552.

The previous prime is 364106311. The next prime is 364106371. The reversal of 364106340 is 43601463.

It can be written as a sum of positive squares in 8 ways, for example, as 67371264 + 296735076 = 8208^2 + 17226^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3222124 + ... + 3222236.

It is an arithmetic number, because the mean of its divisors is an integer number (3924963).

Almost surely, 2^364106340 is an apocalyptic number.

364106340 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 364106340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659393784).

364106340 is an abundant number, since it is smaller than the sum of its proper divisors (954681228).

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

364106340 is a wasteful number, since it uses less digits than its factorization.

364106340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 364106340 is about 19081.5706900664. The cubic root of 364106340 is about 714.0732217825.

The spelling of 364106340 in words is "three hundred sixty-four million, one hundred six thousand, three hundred forty".