3906947520000 has 2000 divisors, whose sum is σ = 16974499446432. Its totient is φ = 875888640000.

The previous prime is 3906947519987. The next prime is 3906947520019. The reversal of 3906947520000 is 257496093.

It is a happy number.

3906947520000 is a `hidden beast` number, since 39 + 0 + 6 + 94 + 7 + 520 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2000).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 11067839824 + ... + 11067840176.

Almost surely, 2^{3906947520000} is an apocalyptic number.

3906947520000 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 3906947520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487249723216).

3906947520000 is an abundant number, since it is smaller than the sum of its proper divisors (13067551926432).

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

3906947520000 is an frugal number, since it uses more digits than its factorization.

3906947520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 3906947520000 in words is "three trillion, nine hundred six billion, nine hundred forty-seven million, five hundred twenty thousand".