38478643200 has 576 divisors, whose sum is σ = 146420394120. Its totient is φ = 9625927680.

The previous prime is 38478643199. The next prime is 38478643249. The reversal of 38478643200 is 234687483.

38478643200 is a `hidden beast` number, since 384 + 7 + 8 + 64 + 3 + 200 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125337447 + ... + 125337753.

Almost surely, 2^38478643200 is an apocalyptic number.

38478643200 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 38478643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73210197060).

38478643200 is an abundant number, since it is smaller than the sum of its proper divisors (107941750920).

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

38478643200 is a wasteful number, since it uses less digits than its factorization.

38478643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 38478643200 in words is "thirty-eight billion, four hundred seventy-eight million, six hundred forty-three thousand, two hundred".