37784420352 has 256 divisors, whose sum is σ = 127966262400. Its totient is φ = 10793779200.

The previous prime is 37784420231. The next prime is 37784420353. The reversal of 37784420352 is 25302448773.

It is a tau number, because it is divible by the number of its divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 37784420298 and 37784420307.

It is not an unprimeable number, because it can be changed into a prime (37784420353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6190102 + ... + 6196202.

Almost surely, 2^37784420352 is an apocalyptic number.

37784420352 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 37784420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63983131200).

37784420352 is an abundant number, since it is smaller than the sum of its proper divisors (90181842048).

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

37784420352 is an frugal number, since it uses more digits than its factorization.

37784420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147 (or 6113 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 37784420352 in words is "thirty-seven billion, seven hundred eighty-four million, four hundred twenty thousand, three hundred fifty-two".