3806541527040 has 1440 divisors, whose sum is σ = 16101343898640. Its totient is φ = 857479053312.

The previous prime is 3806541527039. The next prime is 3806541527083. The reversal of 3806541527040 is 407251456083.

3806541527040 is a `hidden beast` number, since 3 + 80 + 6 + 5 + 4 + 1 + 527 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2966906239 + ... + 2966907521.

Almost surely, 2^{3806541527040} is an apocalyptic number.

3806541527040 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 3806541527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8050671949320).

3806541527040 is an abundant number, since it is smaller than the sum of its proper divisors (12294802371600).

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

3806541527040 is a wasteful number, since it uses less digits than its factorization.

3806541527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 3806541527040 in words is "three trillion, eight hundred six billion, five hundred forty-one million, five hundred twenty-seven thousand, forty".