3401430032 has 240 divisors, whose sum is σ = 9143164800. Its totient is φ = 1192181760.

The previous prime is 3401430031. The next prime is 3401430037. The reversal of 3401430032 is 2300341043.

It is a junction number, because it is equal to n+sod(n) for n = 3401429986 and 3401430013.

It is not an unprimeable number, because it can be changed into a prime (3401430031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7575344 + ... + 7575792.

It is an arithmetic number, because the mean of its divisors is an integer number (38096520).

Almost surely, 2^3401430032 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 3401430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571582400).

3401430032 is an abundant number, since it is smaller than the sum of its proper divisors (5741734768).

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

3401430032 is a wasteful number, since it uses less digits than its factorization.

3401430032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3401430032 is about 58321.7800825729. The cubic root of 3401430032 is about 1503.9053834585.

Adding to 3401430032 its reverse (2300341043), we get a palindrome (5701771075).

It can be divided in two parts, 34014 and 30032, that added together give a palindrome (64046).

The spelling of 3401430032 in words is "three billion, four hundred one million, four hundred thirty thousand, thirty-two".