3401435440 has 160 divisors (see below), whose sum is σ = 8787062592. Its totient is φ = 1216512000.

The previous prime is 3401435393. The next prime is 3401435447. The reversal of 3401435440 is 445341043.

3401435440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3401435399 and 3401435408.

It is not an unprimeable number, because it can be changed into a prime (3401435447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10276075 + ... + 10276405.

Almost surely, 2^3401435440 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 3401435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393531296).

3401435440 is an abundant number, since it is smaller than the sum of its proper divisors (5385627152).

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

3401435440 is a wasteful number, since it uses less digits than its factorization.

3401435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 3401435440 is about 58321.8264460228. The cubic root of 3401435440 is about 1503.9061804876.

Adding to 3401435440 its reverse (445341043), we get a palindrome (3846776483).

The spelling of 3401435440 in words is "three billion, four hundred one million, four hundred thirty-five thousand, four hundred forty".