3495485952 has 360 divisors, whose sum is σ = 11925532476. Its totient is φ = 982646784.

The previous prime is 3495485887. The next prime is 3495485963. The reversal of 3495485952 is 2595845943.

3495485952 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 48 + 595 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3224422656 + 271063296 = 56784^2 + 16464^2 .

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

Its product of digits (7776000) is a multiple of the sum of its prime factors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25514428 + ... + 25514564.

Almost surely, 2^3495485952 is an apocalyptic number.

3495485952 is a gapful number since it is divisible by the number (32) 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 3495485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962766238).

3495485952 is an abundant number, since it is smaller than the sum of its proper divisors (8430046524).

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

3495485952 is a wasteful number, since it uses less digits than its factorization.

3495485952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 262 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The square root of 3495485952 is about 59122.6348533284. The cubic root of 3495485952 is about 1517.6414761521.

The spelling of 3495485952 in words is "three billion, four hundred ninety-five million, four hundred eighty-five thousand, nine hundred fifty-two".