37841213268 has 72 divisors (see below), whose sum is σ = 97502821416. Its totient is φ = 12370176000.

The previous prime is 37841213239. The next prime is 37841213281. The reversal of 37841213268 is 86231214873.

37841213268 is a `hidden beast` number, since 378 + 4 + 1 + 2 + 13 + 268 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2407668624 + 35433544644 = 49068^2 + 188238^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8013148 + ... + 8017868.

It is an arithmetic number, because the mean of its divisors is an integer number (1354205853).

Almost surely, 2^37841213268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37841213268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48751410708).

37841213268 is an abundant number, since it is smaller than the sum of its proper divisors (59661608148).

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

37841213268 is a wasteful number, since it uses less digits than its factorization.

37841213268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8985 (or 8980 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 37841213268 in words is "thirty-seven billion, eight hundred forty-one million, two hundred thirteen thousand, two hundred sixty-eight".