3896031484800 has 768 divisors, whose sum is σ = 17548826803200. Its totient is φ = 822018170880.

The previous prime is 3896031484789. The next prime is 3896031484861. The reversal of 3896031484800 is 84841306983.

3896031484800 is a `hidden beast` number, since 3 + 8 + 96 + 0 + 31 + 48 + 480 + 0 = 666.

It is a super-2 number, since 2×3896031484800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7614637 + ... + 8110163.

It is an arithmetic number, because the mean of its divisors is an integer number (22850034900).

Almost surely, 2^{3896031484800} is an apocalyptic number.

3896031484800 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 3896031484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8774413401600).

3896031484800 is an abundant number, since it is smaller than the sum of its proper divisors (13652795318400).

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

3896031484800 is a wasteful number, since it uses less digits than its factorization.

3896031484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495580 (or 495557 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 3896031484800 in words is "three trillion, eight hundred ninety-six billion, thirty-one million, four hundred eighty-four thousand, eight hundred".