38782464 has 80 divisors (see below), whose sum is σ = 118111488. Its totient is φ = 11077632.

The previous prime is 38782459. The next prime is 38782571. The reversal of 38782464 is 46428783.

It is a super-2 number, since 2×38782464² = 3008159027822592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8949 + ... + 12555.

Almost surely, 2^38782464 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 38782464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59055744).

38782464 is an abundant number, since it is smaller than the sum of its proper divisors (79329024).

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

38782464 is an equidigital number, since it uses as much as digits as its factorization.

38782464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635 (or 3619 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 38782464 is about 6227.5568243092. The cubic root of 38782464 is about 338.4894464803.

The spelling of 38782464 in words is "thirty-eight million, seven hundred eighty-two thousand, four hundred sixty-four".