37249772004 has 81 divisors (see below), whose sum is σ = 99434451753. Its totient is φ = 11756137824.

The previous prime is 37249771991. The next prime is 37249772017. The reversal of 37249772004 is 40027794273.

The square root of 37249772004 is 193002.

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

37249772004 is a `hidden beast` number, since 372 + 4 + 9 + 77 + 200 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (37249771991) and next prime (37249772017).

It can be written as a sum of positive squares in only one way, i.e., 14191956900 + 23057815104 = 119130^2 + 151848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22001382 + ... + 22003074.

Almost surely, 2^37249772004 is an apocalyptic number.

37249772004 is the 193002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37249772004

37249772004 is an abundant number, since it is smaller than the sum of its proper divisors (62184679749).

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

37249772004 is a wasteful number, since it uses less digits than its factorization.

37249772004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 37249772004 in words is "thirty-seven billion, two hundred forty-nine million, seven hundred seventy-two thousand, four".