3485770848 has 288 divisors, whose sum is σ = 12442719744. Its totient is φ = 937101312.

The previous prime is 3485770823. The next prime is 3485770853. The reversal of 3485770848 is 8480775843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 3485770794 and 3485770803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 923461 + ... + 927227.

It is an arithmetic number, because the mean of its divisors is an integer number (43203888).

Almost surely, 2^3485770848 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 3485770848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221359872).

3485770848 is an abundant number, since it is smaller than the sum of its proper divisors (8956948896).

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

3485770848 is a wasteful number, since it uses less digits than its factorization.

3485770848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The square root of 3485770848 is about 59040.4170716976. The cubic root of 3485770848 is about 1516.2341634423.

The spelling of 3485770848 in words is "three billion, four hundred eighty-five million, seven hundred seventy thousand, eight hundred forty-eight".