3886934373504 has 1536 divisors, whose sum is σ = 15032213280000. Its totient is φ = 978802900992.

The previous prime is 3886934373493. The next prime is 3886934373551. The reversal of 3886934373504 is 4053734396883.

3886934373504 is a `hidden beast` number, since 3 + 8 + 8 + 6 + 93 + 4 + 37 + 3 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6831167332 + ... + 6831167900.

Almost surely, 2^{3886934373504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3886934373504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516106640000).

3886934373504 is an abundant number, since it is smaller than the sum of its proper divisors (11145278906496).

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

3886934373504 is a wasteful number, since it uses less digits than its factorization.

3886934373504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 3886934373504 in words is "three trillion, eight hundred eighty-six billion, nine hundred thirty-four million, three hundred seventy-three thousand, five hundred four".