3401029632 has 576 divisors, whose sum is σ = 12548390400. Its totient is φ = 805109760.

The previous prime is 3401029627. The next prime is 3401029633. The reversal of 3401029632 is 2369201043.

It is a self number, because there is not a number n which added to its sum of digits gives 3401029632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401029633) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 43050969 + ... + 43051047.

It is an arithmetic number, because the mean of its divisors is an integer number (21785400).

Almost surely, 2^3401029632 is an apocalyptic number.

3401029632 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 3401029632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274195200).

3401029632 is an abundant number, since it is smaller than the sum of its proper divisors (9147360768).

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

3401029632 is a wasteful number, since it uses less digits than its factorization.

3401029632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3401029632 is about 58318.3473016854. The cubic root of 3401029632 is about 1503.8463703043.

The spelling of 3401029632 in words is "three billion, four hundred one million, twenty-nine thousand, six hundred thirty-two".