38703868805400 has 384 divisors, whose sum is σ = 127064667340800. Its totient is φ = 9718514956800.

The previous prime is 38703868805309. The next prime is 38703868805401. The reversal of 38703868805400 is 450886830783.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38703868805401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1644791635 + ... + 1644815165.

It is an arithmetic number, because the mean of its divisors is an integer number (330897571200).

Almost surely, 2^{38703868805400} is an apocalyptic number.

38703868805400 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 38703868805400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63532333670400).

38703868805400 is an abundant number, since it is smaller than the sum of its proper divisors (88360798535400).

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

38703868805400 is a wasteful number, since it uses less digits than its factorization.

38703868805400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24439 (or 24430 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 38703868805400 in words is "thirty-eight trillion, seven hundred three billion, eight hundred sixty-eight million, eight hundred five thousand, four hundred".