37795248100 has 27 divisors (see below), whose sum is σ = 82019907291. Its totient is φ = 15117321600.

The previous prime is 37795248097. The next prime is 37795248109. The reversal of 37795248100 is 184259773.

The square root of 37795248100 is 194410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6426587556 + 31368660544 = 80166^2 + 177112^2 .

It is a super-2 number, since 2×37795248100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37795248109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1934380 + ... + 1953820.

Almost surely, 2^37795248100 is an apocalyptic number.

37795248100 is the 194410-th square number.

It is an amenable number.

37795248100 is an abundant number, since it is smaller than the sum of its proper divisors (44224659191).

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

37795248100 is an frugal number, since it uses more digits than its factorization.

37795248100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38896 (or 19448 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 37795248100 in words is "thirty-seven billion, seven hundred ninety-five million, two hundred forty-eight thousand, one hundred".