3401300032 has 84 divisors (see below), whose sum is σ = 7529477956. Its totient is φ = 1515386880.

The previous prime is 3401300011. The next prime is 3401300039. The reversal of 3401300032 is 2300031043.

It can be written as a sum of positive squares in 6 ways, for example, as 20575296 + 3380724736 = 4536^2 + 58144^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3401299979 and 3401300015.

It is not an unprimeable number, because it can be changed into a prime (3401300039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 697282 + ... + 702142.

Almost surely, 2^3401300032 is an apocalyptic number.

3401300032 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 3401300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764738978).

3401300032 is an abundant number, since it is smaller than the sum of its proper divisors (4128177924).

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

3401300032 is a wasteful number, since it uses less digits than its factorization.

3401300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3401300032 is about 58320.6655654752. The cubic root of 3401300032 is about 1503.8862238513.

Adding to 3401300032 its reverse (2300031043), we get a palindrome (5701331075).

The spelling of 3401300032 in words is "three billion, four hundred one million, three hundred thousand, thirty-two".