364140000 has 540 divisors, whose sum is σ = 1570953384. Its totient is φ = 78336000.

The previous prime is 364139989. The next prime is 364140013. The reversal of 364140000 is 41463.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 21419992 + ... + 21420008.

Almost surely, 2^364140000 is an apocalyptic number.

364140000 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 364140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785476692).

364140000 is an abundant number, since it is smaller than the sum of its proper divisors (1206813384).

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

364140000 is a wasteful number, since it uses less digits than its factorization.

364140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 364140000 is about 19082.4526725471. The cubic root of 364140000 is about 714.0952253946.

Adding to 364140000 its reverse (41463), we get a palindrome (364181463).

The spelling of 364140000 in words is "three hundred sixty-four million, one hundred forty thousand".