3935080880640 has 4480 divisors, whose sum is σ = 19476013455360. Its totient is φ = 738421899264.

The previous prime is 3935080880629. The next prime is 3935080880677. The reversal of 3935080880640 is 460880805393.

It is a happy number.

3935080880640 is a `hidden beast` number, since 3 + 93 + 508 + 0 + 8 + 8 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

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 447 ways as a sum of consecutive naturals, for example, 83725125097 + ... + 83725125143.

It is an arithmetic number, because the mean of its divisors is an integer number (4347324432).

Almost surely, 2^{3935080880640} is an apocalyptic number.

3935080880640 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 3935080880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9738006727680).

3935080880640 is an abundant number, since it is smaller than the sum of its proper divisors (15540932574720).

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

3935080880640 is a wasteful number, since it uses less digits than its factorization.

3935080880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3935080880640 in words is "three trillion, nine hundred thirty-five billion, eighty million, eight hundred eighty thousand, six hundred forty".