3896768899296 has 1920 divisors, whose sum is σ = 15269613004800. Its totient is φ = 966740189184.

The previous prime is 3896768899279. The next prime is 3896768899301. The reversal of 3896768899296 is 6929988676983.

3896768899296 is a `hidden beast` number, since 3 + 8 + 96 + 76 + 88 + 99 + 296 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 28443568540 + ... + 28443568676.

It is an arithmetic number, because the mean of its divisors is an integer number (7952923440).

Almost surely, 2^{3896768899296} is an apocalyptic number.

3896768899296 is a gapful number since it is divisible by the number (36) 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 3896768899296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634806502400).

3896768899296 is an abundant number, since it is smaller than the sum of its proper divisors (11372844105504).

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

3896768899296 is a wasteful number, since it uses less digits than its factorization.

3896768899296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 292 counting only the distinct ones).

The product of its digits is 30474952704, while the sum is 90.

The spelling of 3896768899296 in words is "three trillion, eight hundred ninety-six billion, seven hundred sixty-eight million, eight hundred ninety-nine thousand, two hundred ninety-six".