40344000 has 168 divisors, whose sum is σ = 136544304. Its totient is φ = 10496000.

The previous prime is 40343999. The next prime is 40344037. The reversal of 40344000 is 44304.

It is a hoax number, since the sum of its digits (15) 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 983980 + ... + 984020.

Almost surely, 2^40344000 is an apocalyptic number.

40344000 is a gapful number since it is divisible by the number (40) 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 40344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68272152).

40344000 is an abundant number, since it is smaller than the sum of its proper divisors (96200304).

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

40344000 is an equidigital number, since it uses as much as digits as its factorization.

40344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 40344000 is about 6351.6926877802. The cubic root of 40344000 is about 342.9727784555.

Multiplying 40344000 by its sum of digits (15), we get a square (605160000 = 24600²).

40344000 divided by its sum of digits (15) gives a square (2689600 = 1640²).

Adding to 40344000 its reverse (44304), we get a palindrome (40388304).

The spelling of 40344000 in words is "forty million, three hundred forty-four thousand".