37638461952 has 240 divisors, whose sum is σ = 133696442880. Its totient is φ = 9926516736.

The previous prime is 37638461929. The next prime is 37638461953. The reversal of 37638461952 is 25916483673.

37638461952 is a `hidden beast` number, since 3 + 76 + 384 + 6 + 195 + 2 = 666.

It is a super-3 number, since 3×37638461952³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (37638461953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374449 + ... + 464207.

It is an arithmetic number, because the mean of its divisors is an integer number (557068512).

Almost surely, 2^37638461952 is an apocalyptic number.

37638461952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37638461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66848221440).

37638461952 is an abundant number, since it is smaller than the sum of its proper divisors (96057980928).

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

37638461952 is a wasteful number, since it uses less digits than its factorization.

37638461952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89803 (or 89784 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 37638461952 in words is "thirty-seven billion, six hundred thirty-eight million, four hundred sixty-one thousand, nine hundred fifty-two".