38425680 has 120 divisors (see below), whose sum is σ = 130804128. Its totient is φ = 10107648.

The previous prime is 38425643. The next prime is 38425687. The reversal of 38425680 is 8652483.

It is a tau number, because it is divible by the number of its divisors (120).

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 (38425687) 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, 59439 + ... + 60081.

Almost surely, 2^38425680 is an apocalyptic number.

38425680 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 38425680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65402064).

38425680 is an abundant number, since it is smaller than the sum of its proper divisors (92378448).

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

38425680 is a wasteful number, since it uses less digits than its factorization.

38425680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38425680 is about 6198.8450537177. The cubic root of 38425680 is about 337.4482554416.

The spelling of 38425680 in words is "thirty-eight million, four hundred twenty-five thousand, six hundred eighty".