37842868224 has 768 divisors, whose sum is σ = 139258828800. Its totient is φ = 10032906240.

The previous prime is 37842868201. The next prime is 37842868247. The reversal of 37842868224 is 42286824873.

37842868224 is a `hidden beast` number, since 378 + 42 + 8 + 6 + 8 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (37842868201) and next prime (37842868247).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532998109 + ... + 532998179.

It is an arithmetic number, because the mean of its divisors is an integer number (181326600).

Almost surely, 2^37842868224 is an apocalyptic number.

37842868224 is a gapful number since it is divisible by the number (34) 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 37842868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69629414400).

37842868224 is an abundant number, since it is smaller than the sum of its proper divisors (101415960576).

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

37842868224 is an frugal number, since it uses more digits than its factorization.

37842868224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 100 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 37842868224 in words is "thirty-seven billion, eight hundred forty-two million, eight hundred sixty-eight thousand, two hundred twenty-four".