3232123776 has 512 divisors, whose sum is σ = 11985408000. Its totient is φ = 836075520.

The previous prime is 3232123753. The next prime is 3232123813. The reversal of 3232123776 is 6773212323.

3232123776 is a `hidden beast` number, since 32 + 321 + 237 + 76 = 666.

It is a super-4 number, since 4×3232123776⁴ (a number of 39 digits) contains 4444 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3232123776.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 11926521 + ... + 11926791.

It is an arithmetic number, because the mean of its divisors is an integer number (23409000).

Almost surely, 2^3232123776 is an apocalyptic number.

3232123776 is a gapful number since it is divisible by the number (36) 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 3232123776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992704000).

3232123776 is an abundant number, since it is smaller than the sum of its proper divisors (8753284224).

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

3232123776 is a wasteful number, since it uses less digits than its factorization.

3232123776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 3232123776 is about 56851.7702099064. The cubic root of 3232123776 is about 1478.5272322613.

The spelling of 3232123776 in words is "three billion, two hundred thirty-two million, one hundred twenty-three thousand, seven hundred seventy-six".