39223680 has 128 divisors (see below), whose sum is σ = 129254400. Its totient is φ = 10106880.

The previous prime is 39223673. The next prime is 39223687. The reversal of 39223680 is 8632293.

It is an interprime number because it is at equal distance from previous prime (39223673) and next prime (39223687).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39223687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59191 + ... + 59849.

It is an arithmetic number, because the mean of its divisors is an integer number (1009800).

Almost surely, 2^39223680 is an apocalyptic number.

39223680 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 39223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64627200).

39223680 is an abundant number, since it is smaller than the sum of its proper divisors (90030720).

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

39223680 is a wasteful number, since it uses less digits than its factorization.

39223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 39223680 is about 6262.8811261272. The cubic root of 39223680 is about 339.7682388262.

It can be divided in two parts, 39223 and 680, that added together give a triangular number (39903 = T₂₈₂).

The spelling of 39223680 in words is "thirty-nine million, two hundred twenty-three thousand, six hundred eighty".