3485934792 has 160 divisors (see below), whose sum is σ = 10269487800. Its totient is φ = 1103155200.

The previous prime is 3485934757. The next prime is 3485934817. The reversal of 3485934792 is 2974395843.

3485934792 is a `hidden beast` number, since 3 + 4 + 8 + 593 + 47 + 9 + 2 = 666.

3485934792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3047702436 + 438232356 = 55206^2 + 20934^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1144792 + ... + 1147832.

Almost surely, 2^3485934792 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 3485934792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134743900).

3485934792 is an abundant number, since it is smaller than the sum of its proper divisors (6783553008).

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

3485934792 is a wasteful number, since it uses less digits than its factorization.

3485934792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3136 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 3485934792 is about 59041.8054601991. The cubic root of 3485934792 is about 1516.2579337557.

The spelling of 3485934792 in words is "three billion, four hundred eighty-five million, nine hundred thirty-four thousand, seven hundred ninety-two".