3485313792 has 144 divisors (see below), whose sum is σ = 10849552000. Its totient is φ = 1100583936.

The previous prime is 3485313779. The next prime is 3485313823. The reversal of 3485313792 is 2973135843.

3485313792 is a `hidden beast` number, since 3 + 48 + 531 + 3 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118059 + ... + 144597.

Almost surely, 2^3485313792 is an apocalyptic number.

3485313792 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 3485313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424776000).

3485313792 is an abundant number, since it is smaller than the sum of its proper divisors (7364238208).

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

3485313792 is a wasteful number, since it uses less digits than its factorization.

3485313792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26583 (or 26563 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 3485313792 is about 59036.5462404433. The cubic root of 3485313792 is about 1516.1678907542.

The spelling of 3485313792 in words is "three billion, four hundred eighty-five million, three hundred thirteen thousand, seven hundred ninety-two".