3401405040 has 320 divisors, whose sum is σ = 11930664960. Its totient is φ = 794526720.

The previous prime is 3401405039. The next prime is 3401405053. The reversal of 3401405040 is 405041043.

3401405040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3401405040² = 23139112492274803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3401404998 and 3401405016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9802147 + ... + 9802493.

It is an arithmetic number, because the mean of its divisors is an integer number (37283328).

Almost surely, 2^3401405040 is an apocalyptic number.

3401405040 is a gapful number since it is divisible by the number (30) 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 3401405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965332480).

3401405040 is an abundant number, since it is smaller than the sum of its proper divisors (8529259920).

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

3401405040 is a wasteful number, since it uses less digits than its factorization.

3401405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3401405040 is about 58321.5658226012. The cubic root of 3401405040 is about 1503.9017001356.

Adding to 3401405040 its reverse (405041043), we get a palindrome (3806446083).

The spelling of 3401405040 in words is "three billion, four hundred one million, four hundred five thousand, forty".