37201968 has 60 divisors (see below), whose sum is σ = 105569880. Its totient is φ = 12227328.

The previous prime is 37201963. The next prime is 37201991. The reversal of 37201968 is 86910273.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37201963) 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, 8743 + ... + 12281.

It is an arithmetic number, because the mean of its divisors is an integer number (1759498).

Almost surely, 2^37201968 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 37201968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52784940).

37201968 is an abundant number, since it is smaller than the sum of its proper divisors (68367912).

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

37201968 is a wasteful number, since it uses less digits than its factorization.

37201968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 37201968 is about 6099.3416038127. The cubic root of 37201968 is about 333.8273935739.

The spelling of 37201968 in words is "thirty-seven million, two hundred one thousand, nine hundred sixty-eight".