38468352000 has 384 divisors, whose sum is σ = 137872687680. Its totient is φ = 9466675200.

The previous prime is 38468351879. The next prime is 38468352001. The reversal of 38468352000 is 25386483.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 38468352000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38468352001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9982074 + ... + 9985926.

Almost surely, 2^38468352000 is an apocalyptic number.

38468352000 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 38468352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68936343840).

38468352000 is an abundant number, since it is smaller than the sum of its proper divisors (99404335680).

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

38468352000 is a wasteful number, since it uses less digits than its factorization.

38468352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 38468352000 in words is "thirty-eight billion, four hundred sixty-eight million, three hundred fifty-two thousand".