37840896 has 72 divisors (see below), whose sum is σ = 109344690. Its totient is φ = 12607488.

The previous prime is 37840867. The next prime is 37840897. The reversal of 37840896 is 69804873.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 32080896 + 5760000 = 5664^2 + 2400^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (37840897) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17406 + ... + 19458.

Almost surely, 2^37840896 is an apocalyptic number.

37840896 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 37840896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54672345).

37840896 is an abundant number, since it is smaller than the sum of its proper divisors (71503794).

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

37840896 is a wasteful number, since it uses less digits than its factorization.

37840896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 37840896 is about 6151.4954279427. The cubic root of 37840896 is about 335.7276704918.

The spelling of 37840896 in words is "thirty-seven million, eight hundred forty thousand, eight hundred ninety-six".