38446490880 has 864 divisors, whose sum is σ = 167135754240. Its totient is φ = 7955988480.

The previous prime is 38446490869. The next prime is 38446490891. The reversal of 38446490880 is 8809464483.

38446490880 is a `hidden beast` number, since 38 + 4 + 46 + 490 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (38446490869) and next prime (38446490891).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35239135 + ... + 35240225.

It is an arithmetic number, because the mean of its divisors is an integer number (193444160).

Almost surely, 2^38446490880 is an apocalyptic number.

38446490880 is a gapful number since it is divisible by the number (30) 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 38446490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83567877120).

38446490880 is an abundant number, since it is smaller than the sum of its proper divisors (128689263360).

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

38446490880 is a wasteful number, since it uses less digits than its factorization.

38446490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 38446490880 in words is "thirty-eight billion, four hundred forty-six million, four hundred ninety thousand, eight hundred eighty".