38606880 has 192 divisors, whose sum is σ = 137168640. Its totient is φ = 9056256.

The previous prime is 38606863. The next prime is 38606923. The reversal of 38606880 is 8860683.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 538 × 138 × 520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143386 + ... + 143654.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 2^38606880 is an apocalyptic number.

38606880 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 38606880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68584320).

38606880 is an abundant number, since it is smaller than the sum of its proper divisors (98561760).

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

38606880 is a wasteful number, since it uses less digits than its factorization.

38606880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 38606880 is about 6213.4434897245. The cubic root of 38606880 is about 337.9778471295.

The spelling of 38606880 in words is "thirty-eight million, six hundred six thousand, eight hundred eighty".