38465642880 has 960 divisors, whose sum is σ = 168416463600. Its totient is φ = 8318951424.

The previous prime is 38465642879. The next prime is 38465642881. The reversal of 38465642880 is 8824656483.

38465642880 is a `hidden beast` number, since 3 + 84 + 65 + 6 + 428 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (38465642879) and next prime (38465642881).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38465642881) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48262642 + ... + 48263438.

Almost surely, 2^38465642880 is an apocalyptic number.

38465642880 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 38465642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84208231800).

38465642880 is an abundant number, since it is smaller than the sum of its proper divisors (129950820720).

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

38465642880 is a wasteful number, since it uses less digits than its factorization.

38465642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

It can be divided in two parts, 3846564 and 2880, that added together give a square (3849444 = 1962²).

The spelling of 38465642880 in words is "thirty-eight billion, four hundred sixty-five million, six hundred forty-two thousand, eight hundred eighty".