40346384 has 60 divisors (see below), whose sum is σ = 86864976. Its totient is φ = 18135936.

The previous prime is 40346381. The next prime is 40346387. The reversal of 40346384 is 48364304.

It is an interprime number because it is at equal distance from previous prime (40346381) and next prime (40346387).

It is a self number, because there is not a number n which added to its sum of digits gives 40346384.

It is not an unprimeable number, because it can be changed into a prime (40346381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116099 + ... + 116445.

Almost surely, 2^40346384 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 40346384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43432488).

40346384 is an abundant number, since it is smaller than the sum of its proper divisors (46518592).

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

40346384 is a wasteful number, since it uses less digits than its factorization.

40346384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 40346384 is about 6351.8803515180. The cubic root of 40346384 is about 342.9795339499.

The spelling of 40346384 in words is "forty million, three hundred forty-six thousand, three hundred eighty-four".