3485740832 has 144 divisors (see below), whose sum is σ = 8174380032. Its totient is φ = 1458616320.

The previous prime is 3485740831. The next prime is 3485740859. The reversal of 3485740832 is 2380475843.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3485740831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18249857 + ... + 18250047.

It is an arithmetic number, because the mean of its divisors is an integer number (56766528).

Almost surely, 2^3485740832 is an apocalyptic number.

3485740832 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 3485740832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087190016).

3485740832 is an abundant number, since it is smaller than the sum of its proper divisors (4688639200).

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

3485740832 is a wasteful number, since it uses less digits than its factorization.

3485740832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The square root of 3485740832 is about 59040.1628724041. The cubic root of 3485740832 is about 1516.2298113284.

The spelling of 3485740832 in words is "three billion, four hundred eighty-five million, seven hundred forty thousand, eight hundred thirty-two".