3210126480 has 240 divisors, whose sum is σ = 11801387520. Its totient is φ = 775526400.

The previous prime is 3210126389. The next prime is 3210126499. The reversal of 3210126480 is 846210123.

3210126480 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 12 + 648 + 0 = 666.

3210126480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3238785 + ... + 3239775.

It is an arithmetic number, because the mean of its divisors is an integer number (49172448).

Almost surely, 2^3210126480 is an apocalyptic number.

3210126480 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 3210126480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900693760).

3210126480 is an abundant number, since it is smaller than the sum of its proper divisors (8591261040).

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

3210126480 is a wasteful number, since it uses less digits than its factorization.

3210126480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3210126480 is about 56657.9780789961. The cubic root of 3210126480 is about 1475.1653906278.

The spelling of 3210126480 in words is "three billion, two hundred ten million, one hundred twenty-six thousand, four hundred eighty".