38466400 has 72 divisors (see below), whose sum is σ = 107336880. Its totient is φ = 13186560.

The previous prime is 38466397. The next prime is 38466403. The reversal of 38466400 is 466483.

It is an interprime number because it is at equal distance from previous prime (38466397) and next prime (38466403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38466403) 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, 2166 + ... + 9034.

It is an arithmetic number, because the mean of its divisors is an integer number (1490790).

Almost surely, 2^38466400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53668440).

38466400 is an abundant number, since it is smaller than the sum of its proper divisors (68870480).

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

38466400 is a wasteful number, since it uses less digits than its factorization.

38466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6896 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 38466400 is about 6202.1286668369. The cubic root of 38466400 is about 337.5674122315.

The spelling of 38466400 in words is "thirty-eight million, four hundred sixty-six thousand, four hundred".