47785344 has 64 divisors (see below), whose sum is σ = 128226240. Its totient is φ = 15766016.

The previous prime is 47785337. The next prime is 47785357. The reversal of 47785344 is 44358774.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×47785344⁴ (a number of 32 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47785296 and 47785305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40507 + ... + 41669.

It is an arithmetic number, because the mean of its divisors is an integer number (2003535).

Almost surely, 2^47785344 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 47785344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64113120).

47785344 is an abundant number, since it is smaller than the sum of its proper divisors (80440896).

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

47785344 is a wasteful number, since it uses less digits than its factorization.

47785344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1275 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The square root of 47785344 is about 6912.6944095627. The cubic root of 47785344 is about 362.8815647746.

The spelling of 47785344 in words is "forty-seven million, seven hundred eighty-five thousand, three hundred forty-four".