3385525248 has 550 divisors, whose sum is σ = 12487883166. Its totient is φ = 910393344.

The previous prime is 3385525211. The next prime is 3385525259. The reversal of 3385525248 is 8425255833.

3385525248 is a `hidden beast` number, since 3 + 3 + 8 + 552 + 52 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3186376704 + 199148544 = 56448^2 + 14112^2 .

It is a super-2 number, since 2×3385525248² = 22923562409690923008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 199148536 + ... + 199148552.

Almost surely, 2^3385525248 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 3385525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6243941583).

3385525248 is an abundant number, since it is smaller than the sum of its proper divisors (9102357918).

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

3385525248 is an frugal number, since it uses more digits than its factorization.

3385525248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 29 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 3385525248 is about 58185.2665887164. The cubic root of 3385525248 is about 1501.5576778665.

The spelling of 3385525248 in words is "three billion, three hundred eighty-five million, five hundred twenty-five thousand, two hundred forty-eight".