38416680 has 160 divisors (see below), whose sum is σ = 131725440. Its totient is φ = 10039680.

The previous prime is 38416669. The next prime is 38416691. The reversal of 38416680 is 8661483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38416669) and next prime (38416691).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 229957 + ... + 230123.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 2^38416680 is an apocalyptic number.

38416680 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 38416680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65862720).

38416680 is an abundant number, since it is smaller than the sum of its proper divisors (93308760).

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

38416680 is a wasteful number, since it uses less digits than its factorization.

38416680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38416680 is about 6198.1190695242. The cubic root of 38416680 is about 337.4219078580.

The spelling of 38416680 in words is "thirty-eight million, four hundred sixteen thousand, six hundred eighty".