37874859552 has 288 divisors, whose sum is σ = 116390131200. Its totient is φ = 11981173248.

The previous prime is 37874859551. The next prime is 37874859569. The reversal of 37874859552 is 25595847873.

37874859552 is a `hidden beast` number, since 3 + 7 + 8 + 74 + 8 + 5 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 37874859552.

It is not an unprimeable number, because it can be changed into a prime (37874859551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79070449 + ... + 79070927.

It is an arithmetic number, because the mean of its divisors is an integer number (404132400).

Almost surely, 2^37874859552 is an apocalyptic number.

37874859552 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 37874859552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58195065600).

37874859552 is an abundant number, since it is smaller than the sum of its proper divisors (78515271648).

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

37874859552 is a wasteful number, since it uses less digits than its factorization.

37874859552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 680 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 37874859552 in words is "thirty-seven billion, eight hundred seventy-four million, eight hundred fifty-nine thousand, five hundred fifty-two".