37382048482240 has 672 divisors, whose sum is σ = 115786329402240. Its totient is φ = 11239208386560.

The previous prime is 37382048482193. The next prime is 37382048482249. The reversal of 37382048482240 is 4228484028373.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37382048482249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13778859124 + ... + 13778861836.

It is an arithmetic number, because the mean of its divisors is an integer number (172301085420).

Almost surely, 2^{37382048482240} 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 37382048482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57893164701120).

37382048482240 is an abundant number, since it is smaller than the sum of its proper divisors (78404280920000).

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

37382048482240 is a wasteful number, since it uses less digits than its factorization.

37382048482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 55.

The spelling of 37382048482240 in words is "thirty-seven trillion, three hundred eighty-two billion, forty-eight million, four hundred eighty-two thousand, two hundred forty".