38435068800 has 576 divisors, whose sum is σ = 150275314800. Its totient is φ = 9310371840.

The previous prime is 38435068757. The next prime is 38435068801. The reversal of 38435068800 is 886053483.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38435068801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14197047 + ... + 14199753.

Almost surely, 2^38435068800 is an apocalyptic number.

38435068800 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 38435068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75137657400).

38435068800 is an abundant number, since it is smaller than the sum of its proper divisors (111840246000).

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

38435068800 is a wasteful number, since it uses less digits than its factorization.

38435068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 38435068800 in words is "thirty-eight billion, four hundred thirty-five million, sixty-eight thousand, eight hundred".