38432640 has 128 divisors (see below), whose sum is σ = 126047520. Its totient is φ = 9953280.

The previous prime is 38432633. The next prime is 38432663. The reversal of 38432640 is 4623483.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 38432598 and 38432607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70770 + ... + 71310.

Almost surely, 2^38432640 is an apocalyptic number.

38432640 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 38432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63023760).

38432640 is an abundant number, since it is smaller than the sum of its proper divisors (87614880).

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

38432640 is a wasteful number, since it uses less digits than its factorization.

38432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 38432640 is about 6199.4064231989. The cubic root of 38432640 is about 337.4686280853.

The spelling of 38432640 in words is "thirty-eight million, four hundred thirty-two thousand, six hundred forty".