3213014657952 has 384 divisors, whose sum is σ = 9518636187648. Its totient is φ = 940728729600.

The previous prime is 3213014657887. The next prime is 3213014657977. The reversal of 3213014657952 is 2597564103123.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 986493508 + ... + 986496764.

It is an arithmetic number, because the mean of its divisors is an integer number (24788115072).

Almost surely, 2^{3213014657952} is an apocalyptic number.

3213014657952 is a gapful number since it is divisible by the number (32) 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 3213014657952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759318093824).

3213014657952 is an abundant number, since it is smaller than the sum of its proper divisors (6305621529696).

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

3213014657952 is a wasteful number, since it uses less digits than its factorization.

3213014657952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 3213014657952 in words is "three trillion, two hundred thirteen billion, fourteen million, six hundred fifty-seven thousand, nine hundred fifty-two".