3905474279040 has 640 divisors, whose sum is σ = 14801147943120. Its totient is φ = 977969479680.

The previous prime is 3905474279033. The next prime is 3905474279051. The reversal of 3905474279040 is 409724745093.

3905474279040 is a `hidden beast` number, since 3 + 9 + 0 + 547 + 4 + 2 + 7 + 90 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3202009621056 + 703464657984 = 1789416^2 + 838728^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 406265274 + ... + 406274886.

Almost surely, 2^{3905474279040} is an apocalyptic number.

3905474279040 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 3905474279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7400573971560).

3905474279040 is an abundant number, since it is smaller than the sum of its proper divisors (10895673664080).

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

3905474279040 is a wasteful number, since it uses less digits than its factorization.

3905474279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10122 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3905474279040 in words is "three trillion, nine hundred five billion, four hundred seventy-four million, two hundred seventy-nine thousand, forty".