37883244672 has 512 divisors, whose sum is σ = 138641664000. Its totient is φ = 9916452864.

The previous prime is 37883244647. The next prime is 37883244709. The reversal of 37883244672 is 27644238873.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51262479 + ... + 51263217.

It is an arithmetic number, because the mean of its divisors is an integer number (270784500).

Almost surely, 2^37883244672 is an apocalyptic number.

37883244672 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 37883244672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69320832000).

37883244672 is an abundant number, since it is smaller than the sum of its proper divisors (100758419328).

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

37883244672 is a wasteful number, since it uses less digits than its factorization.

37883244672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 927 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 37883244672 in words is "thirty-seven billion, eight hundred eighty-three million, two hundred forty-four thousand, six hundred seventy-two".