3969487278900 has 2592 divisors, whose sum is σ = 16865884264320. Its totient is φ = 767066112000.

The previous prime is 3969487278893. The next prime is 3969487278931. The reversal of 3969487278900 is 98727849693.

3969487278900 is a `hidden beast` number, since 3 + 9 + 69 + 487 + 2 + 7 + 89 + 0 + 0 = 666.

3969487278900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 28974359632 + ... + 28974359768.

Almost surely, 2^{3969487278900} is an apocalyptic number.

3969487278900 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 3969487278900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432942132160).

3969487278900 is an abundant number, since it is smaller than the sum of its proper divisors (12896396985420).

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

3969487278900 is a wasteful number, since it uses less digits than its factorization.

3969487278900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 3969487278900 in words is "three trillion, nine hundred sixty-nine billion, four hundred eighty-seven million, two hundred seventy-eight thousand, nine hundred".