37429668 has 48 divisors (see below), whose sum is σ = 97930560. Its totient is φ = 12362112.

The previous prime is 37429663. The next prime is 37429687. The reversal of 37429668 is 86692473.

It is not an unprimeable number, because it can be changed into a prime (37429663) 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, 10671 + ... + 13737.

It is an arithmetic number, because the mean of its divisors is an integer number (2040220).

Almost surely, 2^37429668 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 37429668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48965280).

37429668 is an abundant number, since it is smaller than the sum of its proper divisors (60500892).

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

37429668 is a wasteful number, since it uses less digits than its factorization.

37429668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3185 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 37429668 is about 6117.9790780943. The cubic root of 37429668 is about 334.5070882690.

The spelling of 37429668 in words is "thirty-seven million, four hundred twenty-nine thousand, six hundred sixty-eight".