3511481040 has 120 divisors (see below), whose sum is σ = 11954446920. Its totient is φ = 923553792.

The previous prime is 3511481023. The next prime is 3511481059. The reversal of 3511481040 is 401841153.

It is a happy number.

3511481040 is a `hidden beast` number, since 3 + 511 + 48 + 104 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22924944 + 3488556096 = 4788^2 + 59064^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 3511480995 and 3511481013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19156 + ... + 85964.

It is an arithmetic number, because the mean of its divisors is an integer number (99620391).

Almost surely, 2^3511481040 is an apocalyptic number.

3511481040 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 3511481040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977223460).

3511481040 is an abundant number, since it is smaller than the sum of its proper divisors (8442965880).

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

3511481040 is a wasteful number, since it uses less digits than its factorization.

3511481040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66901 (or 66892 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3511481040 is about 59257.7508854327. The cubic root of 3511481040 is about 1519.9528263291.

The spelling of 3511481040 in words is "three billion, five hundred eleven million, four hundred eighty-one thousand, forty".