38294400 has 96 divisors (see below), whose sum is σ = 126163800. Its totient is φ = 10209280.

The previous prime is 38294357. The next prime is 38294401. The reversal of 38294400 is 449283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38294400² = 2932922142720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38294401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7606 + ... + 11594.

Almost surely, 2^38294400 is an apocalyptic number.

38294400 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 38294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63081900).

38294400 is an abundant number, since it is smaller than the sum of its proper divisors (87869400).

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

38294400 is a wasteful number, since it uses less digits than its factorization.

38294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38294400 is about 6188.2469246144. The cubic root of 38294400 is about 337.0635235558.

The spelling of 38294400 in words is "thirty-eight million, two hundred ninety-four thousand, four hundred".