3908284457040 has 120 divisors (see below), whose sum is σ = 13145423583240. Its totient is φ = 1040613030912.

The previous prime is 3908284457003. The next prime is 3908284457047. The reversal of 3908284457040 is 407544828093.

3908284457040 is a `hidden beast` number, since 3 + 9 + 0 + 8 + 28 + 4 + 4 + 570 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6774606864 + 3901509850176 = 82308^2 + 1975224^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3908284457047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3686175 + ... + 4626494.

It is an arithmetic number, because the mean of its divisors is an integer number (109545196527).

Almost surely, 2^{3908284457040} is an apocalyptic number.

3908284457040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3908284457040 is an abundant number, since it is smaller than the sum of its proper divisors (9237139126200).

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

3908284457040 is a wasteful number, since it uses less digits than its factorization.

3908284457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313341 (or 8313332 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3908284457040 in words is "three trillion, nine hundred eight billion, two hundred eighty-four million, four hundred fifty-seven thousand, forty".