3485647296 has 112 divisors (see below), whose sum is σ = 10274990880. Its totient is φ = 1158727680.

The previous prime is 3485647283. The next prime is 3485647331. The reversal of 3485647296 is 6927465843.

3485647296 is a `hidden beast` number, since 3 + 4 + 8 + 564 + 72 + 9 + 6 = 666.

It is a super-2 number, since 2×3485647296² = 24299474144224223232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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, 683476 + ... + 688556.

It is an arithmetic number, because the mean of its divisors is an integer number (91740990).

Almost surely, 2^3485647296 is an apocalyptic number.

3485647296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3485647296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5137495440).

3485647296 is an abundant number, since it is smaller than the sum of its proper divisors (6789343584).

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

3485647296 is a wasteful number, since it uses less digits than its factorization.

3485647296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5483 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3485647296 is about 59039.3707283538. The cubic root of 3485647296 is about 1516.2162490904.

The spelling of 3485647296 in words is "three billion, four hundred eighty-five million, six hundred forty-seven thousand, two hundred ninety-six".