37438740 has 192 divisors, whose sum is σ = 127008000. Its totient is φ = 9123840.

The previous prime is 37438717. The next prime is 37438741. The reversal of 37438740 is 4783473.

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

It is a junction number, because it is equal to n+sod(n) for n = 37438695 and 37438704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37438741) 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 63 ways as a sum of consecutive naturals, for example, 420616 + ... + 420704.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 2^37438740 is an apocalyptic number.

37438740 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 37438740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

37438740 is an abundant number, since it is smaller than the sum of its proper divisors (89569260).

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

37438740 is a wasteful number, since it uses less digits than its factorization.

37438740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 37438740 is about 6118.7204544741. The cubic root of 37438740 is about 334.5341114241.

The spelling of 37438740 in words is "thirty-seven million, four hundred thirty-eight thousand, seven hundred forty".