3889293408 has 480 divisors, whose sum is σ = 15367968000. Its totient is φ = 931875840.

The previous prime is 3889293403. The next prime is 3889293409. The reversal of 3889293408 is 8043929883.

It is a happy number.

3889293408 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3889293403) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2593843 + ... + 2595341.

It is an arithmetic number, because the mean of its divisors is an integer number (32016600).

Almost surely, 2^3889293408 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 3889293408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683984000).

3889293408 is an abundant number, since it is smaller than the sum of its proper divisors (11478674592).

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

3889293408 is a wasteful number, since it uses less digits than its factorization.

3889293408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 3889293408 is about 62364.1997302940. The cubic root of 3889293408 is about 1572.6191838543.

The spelling of 3889293408 in words is "three billion, eight hundred eighty-nine million, two hundred ninety-three thousand, four hundred eight".