3969734693040 has 240 divisors, whose sum is σ = 13955579928576. Its totient is φ = 1010018419200.

The previous prime is 3969734693033. The next prime is 3969734693063. The reversal of 3969734693040 is 403964379693.

3969734693040 is a `hidden beast` number, since 3 + 9 + 69 + 73 + 469 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332217 + ... + 2837223.

Almost surely, 2^{3969734693040} is an apocalyptic number.

3969734693040 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 3969734693040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6977789964288).

3969734693040 is an abundant number, since it is smaller than the sum of its proper divisors (9985845235536).

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

3969734693040 is a wasteful number, since it uses less digits than its factorization.

3969734693040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505128 (or 2505119 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 63.

The spelling of 3969734693040 in words is "three trillion, nine hundred sixty-nine billion, seven hundred thirty-four million, six hundred ninety-three thousand, forty".