3213400147680 has 384 divisors, whose sum is σ = 10802478145536. Its totient is φ = 801487872000.

The previous prime is 3213400147619. The next prime is 3213400147703. The reversal of 3213400147680 is 867410043123.

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 63 ways as a sum of consecutive naturals, for example, 83115234 + ... + 83153886.

It is an arithmetic number, because the mean of its divisors is an integer number (28131453504).

Almost surely, 2^{3213400147680} is an apocalyptic number.

3213400147680 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 3213400147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401239072768).

3213400147680 is an abundant number, since it is smaller than the sum of its proper divisors (7589077997856).

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

3213400147680 is a wasteful number, since it uses less digits than its factorization.

3213400147680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38890 (or 38882 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 3213400147680 in words is "three trillion, two hundred thirteen billion, four hundred million, one hundred forty-seven thousand, six hundred eighty".