3213557760 has 272 divisors, whose sum is σ = 11777515776. Its totient is φ = 732954624.

The previous prime is 3213557749. The next prime is 3213557771. The reversal of 3213557760 is 677553123.

It is an interprime number because it is at equal distance from previous prime (3213557749) and next prime (3213557771).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6881047 + ... + 6881513.

Almost surely, 2^3213557760 is an apocalyptic number.

3213557760 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 3213557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888757888).

3213557760 is an abundant number, since it is smaller than the sum of its proper divisors (8563958016).

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

3213557760 is an frugal number, since it uses more digits than its factorization.

3213557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

The square root of 3213557760 is about 56688.2506345010. The cubic root of 3213557760 is about 1475.6908011924.

The spelling of 3213557760 in words is "three billion, two hundred thirteen million, five hundred fifty-seven thousand, seven hundred sixty".