3213488376000 has 2688 divisors, whose sum is σ = 14953907404800. Its totient is φ = 666073497600.

The previous prime is 3213488375879. The next prime is 3213488376001. The reversal of 3213488376000 is 6738843123.

3213488376000 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 4 + 8 + 8 + 37 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3213488376001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6708743761 + ... + 6708744239.

It is an arithmetic number, because the mean of its divisors is an integer number (5563209600).

Almost surely, 2^{3213488376000} is an apocalyptic number.

3213488376000 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 3213488376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476953702400).

3213488376000 is an abundant number, since it is smaller than the sum of its proper divisors (11740419028800).

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

3213488376000 is a wasteful number, since it uses less digits than its factorization.

3213488376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3213488376000 in words is "three trillion, two hundred thirteen billion, four hundred eighty-eight million, three hundred seventy-six thousand".