3235219680 has 768 divisors, whose sum is σ = 14213283840. Its totient is φ = 597196800.

The previous prime is 3235219657. The next prime is 3235219703. The reversal of 3235219680 is 869125323.

It is an interprime number because it is at equal distance from previous prime (3235219657) and next prime (3235219703).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11937945 + ... + 11938215.

It is an arithmetic number, because the mean of its divisors is an integer number (18506880).

Almost surely, 2^3235219680 is an apocalyptic number.

3235219680 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 3235219680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7106641920).

3235219680 is an abundant number, since it is smaller than the sum of its proper divisors (10978064160).

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

3235219680 is a wasteful number, since it uses less digits than its factorization.

3235219680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 3235219680 is about 56878.9915522419. The cubic root of 3235219680 is about 1478.9991528910. Note that the first 3 decimals are identical.

The spelling of 3235219680 in words is "three billion, two hundred thirty-five million, two hundred nineteen thousand, six hundred eighty".