37985088 has 56 divisors (see below), whose sum is σ = 103237792. Its totient is φ = 12317184.

The previous prime is 37985081. The next prime is 37985113. The reversal of 37985088 is 88058973.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37985081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4431 + ... + 9777.

It is an arithmetic number, because the mean of its divisors is an integer number (1843532).

Almost surely, 2^37985088 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 37985088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51618896).

37985088 is an abundant number, since it is smaller than the sum of its proper divisors (65252704).

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

37985088 is a wasteful number, since it uses less digits than its factorization.

37985088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5399 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 37985088 is about 6163.2043613692. The cubic root of 37985088 is about 336.1535579285.

The spelling of 37985088 in words is "thirty-seven million, nine hundred eighty-five thousand, eighty-eight".