3967656099840 has 576 divisors, whose sum is σ = 14286487920120. Its totient is φ = 1057754972160.

The previous prime is 3967656099833. The next prime is 3967656099863. The reversal of 3967656099840 is 489906567693.

3967656099840 is a `hidden beast` number, since 3 + 9 + 6 + 7 + 6 + 5 + 609 + 9 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1074952395 + ... + 1074956085.

Almost surely, 2^{3967656099840} is an apocalyptic number.

3967656099840 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 3967656099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7143243960060).

3967656099840 is an abundant number, since it is smaller than the sum of its proper divisors (10318831820280).

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

3967656099840 is an frugal number, since it uses more digits than its factorization.

3967656099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 3967656099840 in words is "three trillion, nine hundred sixty-seven billion, six hundred fifty-six million, ninety-nine thousand, eight hundred forty".