37442283380100 has 567 divisors, whose sum is σ = 123469592806399. Its totient is φ = 9851116579200.

The previous prime is 37442283380069. The next prime is 37442283380143. The reversal of 37442283380100 is 108338224473.

The square root of 37442283380100 is 6119010.

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

37442283380100 is a `hidden beast` number, since 3 + 7 + 44 + 228 + 3 + 380 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4121866336644 + 33320417043456 = 2030238^2 + 5772384^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 216429383614 + ... + 216429383786.

Almost surely, 2^{37442283380100} is an apocalyptic number.

37442283380100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

37442283380100 is the 6119010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37442283380100

37442283380100 is an abundant number, since it is smaller than the sum of its proper divisors (86027309426299).

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

37442283380100 is an equidigital number, since it uses as much as digits as its factorization.

37442283380100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 37442283380100 in words is "thirty-seven trillion, four hundred forty-two billion, two hundred eighty-three million, three hundred eighty thousand, one hundred".