3853697316480 has 1280 divisors, whose sum is σ = 15957803157120. Its totient is φ = 875888640000.

The previous prime is 3853697316461. The next prime is 3853697316481. The reversal of 3853697316480 is 846137963583.

3853697316480 is a `hidden beast` number, since 3 + 8 + 5 + 36 + 97 + 31 + 6 + 480 = 666.

It is not an unprimeable number, because it can be changed into a prime (3853697316481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3208739880 + ... + 3208741080.

Almost surely, 2^{3853697316480} is an apocalyptic number.

3853697316480 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 3853697316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7978901578560).

3853697316480 is an abundant number, since it is smaller than the sum of its proper divisors (12104105840640).

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

3853697316480 is a wasteful number, since it uses less digits than its factorization.

3853697316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 3853697316480 in words is "three trillion, eight hundred fifty-three billion, six hundred ninety-seven million, three hundred sixteen thousand, four hundred eighty".