38364480 has 336 divisors, whose sum is σ = 165469824. Its totient is φ = 7925760.

The previous prime is 38364463. The next prime is 38364481. The reversal of 38364480 is 8446383.

38364480 is a `hidden beast` number, since 3 + 8 + 3 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38364481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221674 + ... + 221846.

Almost surely, 2^38364480 is an apocalyptic number.

38364480 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 38364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82734912).

38364480 is an abundant number, since it is smaller than the sum of its proper divisors (127105344).

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

38364480 is a wasteful number, since it uses less digits than its factorization.

38364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 38364480 is about 6193.9066831847. The cubic root of 38364480 is about 337.2690106683.

The spelling of 38364480 in words is "thirty-eight million, three hundred sixty-four thousand, four hundred eighty".