38280606672 has 320 divisors, whose sum is σ = 125091993600. Its totient is φ = 9799280640.

The previous prime is 38280606589. The next prime is 38280606673. The reversal of 38280606672 is 27660608283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38280606673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138196998 + ... + 138197274.

It is an arithmetic number, because the mean of its divisors is an integer number (390912480).

Almost surely, 2^38280606672 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 38280606672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62545996800).

38280606672 is an abundant number, since it is smaller than the sum of its proper divisors (86811386928).

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

38280606672 is a wasteful number, since it uses less digits than its factorization.

38280606672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 38280606672 in words is "thirty-eight billion, two hundred eighty million, six hundred six thousand, six hundred seventy-two".