37985220 has 192 divisors, whose sum is σ = 145635840. Its totient is φ = 8004096.

The previous prime is 37985219. The next prime is 37985243. The reversal of 37985220 is 2258973.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48754 + ... + 49526.

It is an arithmetic number, because the mean of its divisors is an integer number (758520).

Almost surely, 2^37985220 is an apocalyptic number.

37985220 is a gapful number since it is divisible by the number (30) 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 37985220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72817920).

37985220 is an abundant number, since it is smaller than the sum of its proper divisors (107650620).

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

37985220 is a wasteful number, since it uses less digits than its factorization.

37985220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 37985220 is about 6163.2150700750. The cubic root of 37985220 is about 336.1539473113.

The spelling of 37985220 in words is "thirty-seven million, nine hundred eighty-five thousand, two hundred twenty".