37438968 has 128 divisors (see below), whose sum is σ = 116006400. Its totient is φ = 9828864.

The previous prime is 37438927. The next prime is 37439011. The reversal of 37438968 is 86983473.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117946 + ... + 118262.

It is an arithmetic number, because the mean of its divisors is an integer number (906300).

Almost surely, 2^37438968 is an apocalyptic number.

37438968 is a gapful number since it is divisible by the number (38) 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 37438968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58003200).

37438968 is an abundant number, since it is smaller than the sum of its proper divisors (78567432).

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

37438968 is a wasteful number, since it uses less digits than its factorization.

37438968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 37438968 is about 6118.7390857921. The cubic root of 37438968 is about 334.5347905212.

The spelling of 37438968 in words is "thirty-seven million, four hundred thirty-eight thousand, nine hundred sixty-eight".