37818144 has 288 divisors, whose sum is σ = 140192640. Its totient is φ = 9704448.

The previous prime is 37818103. The next prime is 37818197. The reversal of 37818144 is 44181873.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 37818099 and 37818108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1022094 + ... + 1022130.

It is an arithmetic number, because the mean of its divisors is an integer number (486780).

Almost surely, 2^37818144 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 37818144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70096320).

37818144 is an abundant number, since it is smaller than the sum of its proper divisors (102374496).

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

37818144 is a wasteful number, since it uses less digits than its factorization.

37818144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 62 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 37818144 is about 6149.6458434612. The cubic root of 37818144 is about 335.6603711044.

It can be divided in two parts, 378181 and 44, that added together give a square (378225 = 615²).

The spelling of 37818144 in words is "thirty-seven million, eight hundred eighteen thousand, one hundred forty-four".