37621342208 has 42 divisors (see below), whose sum is σ = 75273217119. Its totient is φ = 18801893376.

The previous prime is 37621342201. The next prime is 37621342223. The reversal of 37621342208 is 80224312673.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 18810671104 + 18810671104 = 137152^2 + 137152^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=137152.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37621342201) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 17554385 + ... + 17556527.

Almost surely, 2^37621342208 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 37621342208

37621342208 is an abundant number, since it is smaller than the sum of its proper divisors (37651874911).

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

37621342208 is an frugal number, since it uses more digits than its factorization.

37621342208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 37621342208 in words is "thirty-seven billion, six hundred twenty-one million, three hundred forty-two thousand, two hundred eight".