39894880 has 96 divisors (see below), whose sum is σ = 101352384. Its totient is φ = 14800896.

The previous prime is 39894859. The next prime is 39894901. The reversal of 39894880 is 8849893.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (39894859) and next prime (39894901).

It is a super-5 number, since 5×39894880⁵ (a number of 39 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136014 + ... + 136306.

It is an arithmetic number, because the mean of its divisors is an integer number (1055754).

Almost surely, 2^39894880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50676192).

39894880 is an abundant number, since it is smaller than the sum of its proper divisors (61457504).

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

39894880 is a wasteful number, since it uses less digits than its factorization.

39894880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 39894880 is about 6316.2393874837. The cubic root of 39894880 is about 341.6953387267.

The spelling of 39894880 in words is "thirty-nine million, eight hundred ninety-four thousand, eight hundred eighty".