37875387456 has 441 divisors, whose sum is σ = 122006679151. Its totient is φ = 11658276864.

The previous prime is 37875387449. The next prime is 37875387457. The reversal of 37875387456 is 65478357873.

The square root of 37875387456 is 194616.

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

37875387456 is a `hidden beast` number, since 37 + 8 + 75 + 3 + 87 + 456 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9489877056 + 28385510400 = 97416^2 + 168480^2 .

It is a Duffinian number.

Its product of digits (118540800) is a multiple of the sum of its prime divisors (75).

It is a junction number, because it is equal to n+sod(n) for n = 37875387393 and 37875387402.

It is not an unprimeable number, because it can be changed into a prime (37875387457) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 714629926 + ... + 714629978.

Almost surely, 2^37875387456 is an apocalyptic number.

37875387456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

37875387456 is the 194616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37875387456

37875387456 is an abundant number, since it is smaller than the sum of its proper divisors (84131291695).

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

37875387456 is an frugal number, since it uses more digits than its factorization.

37875387456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 75 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 37875387456 in words is "thirty-seven billion, eight hundred seventy-five million, three hundred eighty-seven thousand, four hundred fifty-six".