3461521172040 has 48 divisors (see below), whose sum is σ = 11249943810300. Its totient is φ = 923072312448.

The previous prime is 3461521171993. The next prime is 3461521172047. The reversal of 3461521172040 is 402711251643.

3461521172040 is a `hidden beast` number, since 3 + 4 + 61 + 521 + 1 + 72 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3457167547716 + 4353624324 = 1859346^2 + 65982^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3461521171986 and 3461521172004.

It is not an unprimeable number, because it can be changed into a prime (3461521172047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4807667935 + ... + 4807668654.

Almost surely, 2^{3461521172040} is an apocalyptic number.

3461521172040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3461521172040 is an abundant number, since it is smaller than the sum of its proper divisors (7788422638260).

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

3461521172040 is a wasteful number, since it uses less digits than its factorization.

3461521172040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9615336606 (or 9615336599 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 3461521172040 in words is "three trillion, four hundred sixty-one billion, five hundred twenty-one million, one hundred seventy-two thousand, forty".