3800064074688 has 672 divisors, whose sum is σ = 14064592688640. Its totient is φ = 954798243840.

The previous prime is 3800064074647. The next prime is 3800064074693. The reversal of 3800064074688 is 8864704600083.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95050543 + ... + 95090513.

Almost surely, 2^{3800064074688} is an apocalyptic number.

3800064074688 is a gapful number since it is divisible by the number (38) 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 3800064074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032296344320).

3800064074688 is an abundant number, since it is smaller than the sum of its proper divisors (10264528613952).

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

3800064074688 is a wasteful number, since it uses less digits than its factorization.

3800064074688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40105 (or 40092 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 3800064074688 in words is "three trillion, eight hundred billion, sixty-four million, seventy-four thousand, six hundred eighty-eight".