37006368 has 72 divisors (see below), whose sum is σ = 113015952. Its totient is φ = 10571904.

The previous prime is 37006367. The next prime is 37006381. The reversal of 37006368 is 86360073.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (37006363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 771 + ... + 8637.

It is an arithmetic number, because the mean of its divisors is an integer number (1569666).

Almost surely, 2^37006368 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 37006368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56507976).

37006368 is an abundant number, since it is smaller than the sum of its proper divisors (76009584).

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

37006368 is a wasteful number, since it uses less digits than its factorization.

37006368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7894 (or 7879 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 37006368 is about 6083.2859541534. The cubic root of 37006368 is about 333.2413008146.

The spelling of 37006368 in words is "thirty-seven million, six thousand, three hundred sixty-eight".