40349088 has 108 divisors (see below), whose sum is σ = 124397910. Its totient is φ = 12400128.

The previous prime is 40349069. The next prime is 40349119. The reversal of 40349088 is 88094304.

40349088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 21790224 + 18558864 = 4668^2 + 4308^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48258 + ... + 49086.

Almost surely, 2^40349088 is an apocalyptic number.

40349088 is a gapful number since it is divisible by the number (48) 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 40349088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62198955).

40349088 is an abundant number, since it is smaller than the sum of its proper divisors (84048822).

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

40349088 is a wasteful number, since it uses less digits than its factorization.

40349088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40349088 is about 6352.0931983087. The cubic root of 40349088 is about 342.9871959000.

The spelling of 40349088 in words is "forty million, three hundred forty-nine thousand, eighty-eight".