38326464 has 168 divisors, whose sum is σ = 125528832. Its totient is φ = 11066880.

The previous prime is 38326423. The next prime is 38326469. The reversal of 38326464 is 46462383.

It is a happy number.

38326464 is a `hidden beast` number, since 3 + 8 + 3 + 2 + 646 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38326469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145597 + ... + 145859.

Almost surely, 2^38326464 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 38326464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62764416).

38326464 is an abundant number, since it is smaller than the sum of its proper divisors (87202368).

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

38326464 is a wasteful number, since it uses less digits than its factorization.

38326464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 38326464 is about 6190.8371001021. The cubic root of 38326464 is about 337.1575720312.

It can be divided in two parts, 3832 and 6464, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 38326464 in words is "thirty-eight million, three hundred twenty-six thousand, four hundred sixty-four".