38966400 has 384 divisors, whose sum is σ = 159364800. Its totient is φ = 9216000.

The previous prime is 38966399. The next prime is 38966419. The reversal of 38966400 is 466983.

38966400 is a `hidden beast` number, since 3 + 8 + 9 + 6 + 640 + 0 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 950380 + ... + 950420.

Almost surely, 2^38966400 is an apocalyptic number.

38966400 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 38966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79682400).

38966400 is an abundant number, since it is smaller than the sum of its proper divisors (120398400).

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

38966400 is a wasteful number, since it uses less digits than its factorization.

38966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 38966400 is about 6242.3072657472. The cubic root of 38966400 is about 339.0237276837.

It can be divided in two parts, 3896 and 6400, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 38966400 in words is "thirty-eight million, nine hundred sixty-six thousand, four hundred".