3485428947 has 288 divisors, whose sum is σ = 7529034240. Its totient is φ = 1580705280.

The previous prime is 3485428907. The next prime is 3485428963. The reversal of 3485428947 is 7498245843.

3485428947 is a `hidden beast` number, since 3 + 4 + 8 + 542 + 8 + 94 + 7 = 666.

It is not a de Polignac number, because 3485428947 - 2¹² = 3485424851 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3485428893 and 3485428902.

It is not an unprimeable number, because it can be changed into a prime (3485428907) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39162079 + ... + 39162167.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 2^3485428947 is an apocalyptic number.

3485428947 is an abundant number, since it is smaller than the sum of its proper divisors (4043605293).

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

3485428947 is a wasteful number, since it uses less digits than its factorization.

3485428947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 3485428947 is about 59037.5215180990. The cubic root of 3485428947 is about 1516.1845886663.

The spelling of 3485428947 in words is "three billion, four hundred eighty-five million, four hundred twenty-eight thousand, nine hundred forty-seven".