3413110140 has 144 divisors (see below), whose sum is σ = 11599791840. Its totient is φ = 805040640.

The previous prime is 3413110117. The next prime is 3413110171. The reversal of 3413110140 is 410113143.

3413110140 is a `hidden beast` number, since 3 + 413 + 110 + 140 = 666.

It is a super-3 number, since 3×3413110140³ (a number of 30 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 49966 + ... + 96554.

It is an arithmetic number, because the mean of its divisors is an integer number (80554110).

Almost surely, 2^3413110140 is an apocalyptic number.

3413110140 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 3413110140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799895920).

3413110140 is an abundant number, since it is smaller than the sum of its proper divisors (8186681700).

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

3413110140 is a wasteful number, since it uses less digits than its factorization.

3413110140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46652 (or 46647 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3413110140 is about 58421.8293106267. The cubic root of 3413110140 is about 1505.6248278431.

Adding to 3413110140 its reverse (410113143), we get a palindrome (3823223283).

The spelling of 3413110140 in words is "three billion, four hundred thirteen million, one hundred ten thousand, one hundred forty".