3230772480 has 864 divisors, whose sum is σ = 13499426304. Its totient is φ = 732561408.

The previous prime is 3230772451. The next prime is 3230772551. The reversal of 3230772480 is 842770323.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68739817 + ... + 68739863.

It is an arithmetic number, because the mean of its divisors is an integer number (15624336).

Almost surely, 2^3230772480 is an apocalyptic number.

3230772480 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 3230772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749713152).

3230772480 is an abundant number, since it is smaller than the sum of its proper divisors (10268653824).

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

3230772480 is a wasteful number, since it uses less digits than its factorization.

3230772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3230772480 is about 56839.8845882009. The cubic root of 3230772480 is about 1478.3211545065.

The spelling of 3230772480 in words is "three billion, two hundred thirty million, seven hundred seventy-two thousand, four hundred eighty".