3896546734080 has 2496 divisors, whose sum is σ = 18547464499200. Its totient is φ = 745655500800.

The previous prime is 3896546734057. The next prime is 3896546734081. The reversal of 3896546734080 is 804376456983.

3896546734080 is a `hidden beast` number, since 3 + 8 + 9 + 6 + 546 + 7 + 3 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is a junction number, because it is equal to n+sod(n) for n = 3896546733999 and 3896546734017.

It is not an unprimeable number, because it can be changed into a prime (3896546734081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9040711465 + ... + 9040711895.

It is an arithmetic number, because the mean of its divisors is an integer number (7430875200).

Almost surely, 2^{3896546734080} is an apocalyptic number.

3896546734080 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 3896546734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9273732249600).

3896546734080 is an abundant number, since it is smaller than the sum of its proper divisors (14650917765120).

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

3896546734080 is a wasteful number, since it uses less digits than its factorization.

3896546734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3896546734080 in words is "three trillion, eight hundred ninety-six billion, five hundred forty-six million, seven hundred thirty-four thousand, eighty".