40345776 has 80 divisors (see below), whose sum is σ = 117338720. Its totient is φ = 13436928.

The previous prime is 40345771. The next prime is 40345819. The reversal of 40345776 is 67754304.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40345776.

It is not an unprimeable number, because it can be changed into a prime (40345771) 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 15 ways as a sum of consecutive naturals, for example, 34416 + ... + 35568.

It is an arithmetic number, because the mean of its divisors is an integer number (1466734).

Almost surely, 2^40345776 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 40345776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58669360).

40345776 is an abundant number, since it is smaller than the sum of its proper divisors (76992944).

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

40345776 is an equidigital number, since it uses as much as digits as its factorization.

40345776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 40345776 is about 6351.8324914941. The cubic root of 40345776 is about 342.9778110974.

The spelling of 40345776 in words is "forty million, three hundred forty-five thousand, seven hundred seventy-six".