3401010432 has 162 divisors, whose sum is σ = 9978011862. Its totient is φ = 1114103808.

The previous prime is 3401010401. The next prime is 3401010449. The reversal of 3401010432 is 2340101043.

It can be written as a sum of positive squares in 3 ways, for example, as 263218176 + 3137792256 = 16224^2 + 56016^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12277878 + ... + 12278154.

Almost surely, 2^3401010432 is an apocalyptic number.

3401010432 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 3401010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989005931).

3401010432 is an abundant number, since it is smaller than the sum of its proper divisors (6577001430).

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

3401010432 is an equidigital number, since it uses as much as digits as its factorization.

3401010432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3401010432 is about 58318.1826877347. The cubic root of 3401010432 is about 1503.8435403864.

Adding to 3401010432 its reverse (2340101043), we get a palindrome (5741111475).

It can be divided in two parts, 340101043 and 2, that multiplied together give a palindrome (680202086).

The spelling of 3401010432 in words is "three billion, four hundred one million, ten thousand, four hundred thirty-two".