3856749248640 has 512 divisors, whose sum is σ = 13104296755200. Its totient is φ = 962072100864.

The previous prime is 3856749248593. The next prime is 3856749248683. The reversal of 3856749248640 is 468429476583.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1033148214 + ... + 1033151946.

It is an arithmetic number, because the mean of its divisors is an integer number (25594329600).

Almost surely, 2^{3856749248640} is an apocalyptic number.

3856749248640 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 3856749248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552148377600).

3856749248640 is an abundant number, since it is smaller than the sum of its proper divisors (9247547506560).

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

3856749248640 is a wasteful number, since it uses less digits than its factorization.

3856749248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 66.

The spelling of 3856749248640 in words is "three trillion, eight hundred fifty-six billion, seven hundred forty-nine million, two hundred forty-eight thousand, six hundred forty".