3461743432 has 64 divisors (see below), whose sum is σ = 7767809280. Its totient is φ = 1414102272.

The previous prime is 3461743429. The next prime is 3461743457. The reversal of 3461743432 is 2343471643.

It is a junction number, because it is equal to n+sod(n) for n = 3461743391 and 3461743400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372798 + ... + 381970.

It is an arithmetic number, because the mean of its divisors is an integer number (121372020).

Almost surely, 2^3461743432 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 3461743432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883904640).

3461743432 is an abundant number, since it is smaller than the sum of its proper divisors (4306065848).

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

3461743432 is a wasteful number, since it uses less digits than its factorization.

3461743432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502 (or 9498 counting only the distinct ones).

The product of its digits is 145152, while the sum is 37.

The square root of 3461743432 is about 58836.5824296415. The cubic root of 3461743432 is about 1512.7423276962.

It can be divided in two parts, 346 and 1743432, that added together give a triangular number (1743778 = T₁₈₆₇).

The spelling of 3461743432 in words is "three billion, four hundred sixty-one million, seven hundred forty-three thousand, four hundred thirty-two".