3411151040 has 112 divisors (see below), whose sum is σ = 8887199904. Its totient is φ = 1236787200.

The previous prime is 3411150991. The next prime is 3411151043. The reversal of 3411151040 is 401511143.

It is a happy number.

It is a super-3 number, since 3×3411151040³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3411151043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1396220 + ... + 1398660.

Almost surely, 2^3411151040 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 3411151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443599952).

3411151040 is an abundant number, since it is smaller than the sum of its proper divisors (5476048864).

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

3411151040 is a wasteful number, since it uses less digits than its factorization.

3411151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 3411151040 is about 58405.0600547590. The cubic root of 3411151040 is about 1505.3367001997.

Adding to 3411151040 its reverse (401511143), we get a palindrome (3812662183).

It can be divided in two parts, 3411 and 151040, that added together give a palindrome (154451).

The spelling of 3411151040 in words is "three billion, four hundred eleven million, one hundred fifty-one thousand, forty".