3487819212800 has 576 divisors, whose sum is σ = 9794613104640. Its totient is φ = 1222091735040.

The previous prime is 3487819212781. The next prime is 3487819212803. The reversal of 3487819212800 is 82129187843.

It is a super-2 number, since 2×3487819212800² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3487819212803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2097304769 + ... + 2097306431.

It is an arithmetic number, because the mean of its divisors is an integer number (17004536640).

Almost surely, 2^{3487819212800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3487819212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897306552320).

3487819212800 is an abundant number, since it is smaller than the sum of its proper divisors (6306793891840).

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

3487819212800 is a wasteful number, since it uses less digits than its factorization.

3487819212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 53.

The spelling of 3487819212800 in words is "three trillion, four hundred eighty-seven billion, eight hundred nineteen million, two hundred twelve thousand, eight hundred".