37768896 has 112 divisors (see below), whose sum is σ = 121188480. Its totient is φ = 11439360.

The previous prime is 37768891. The next prime is 37768949. The reversal of 37768896 is 69886773.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37768891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18015 + ... + 20001.

It is an arithmetic number, because the mean of its divisors is an integer number (1082040).

Almost surely, 2^37768896 is an apocalyptic number.

37768896 is a gapful number since it is divisible by the number (36) 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 37768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60594240).

37768896 is an abundant number, since it is smaller than the sum of its proper divisors (83419584).

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

37768896 is a wasteful number, since it uses less digits than its factorization.

37768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2003 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 37768896 is about 6145.6404060114. The cubic root of 37768896 is about 335.5146052456.

The spelling of 37768896 in words is "thirty-seven million, seven hundred sixty-eight thousand, eight hundred ninety-six".