3229155072 has 504 divisors, whose sum is σ = 11447487408. Its totient is φ = 903260160.

The previous prime is 3229155067. The next prime is 3229155103. The reversal of 3229155072 is 2705519223.

3229155072 is a `hidden beast` number, since 32 + 2 + 9 + 1 + 550 + 72 = 666.

It is a super-5 number, since 5×3229155072⁵ (a number of 49 digits) contains 55555 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 248396538 + ... + 248396550.

Almost surely, 2^3229155072 is an apocalyptic number.

3229155072 is a gapful number since it is divisible by the number (32) 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 3229155072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723743704).

3229155072 is an abundant number, since it is smaller than the sum of its proper divisors (8218332336).

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

3229155072 is an frugal number, since it uses more digits than its factorization.

3229155072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 3229155072 is about 56825.6550512178. The cubic root of 3229155072 is about 1478.0744180996.

The spelling of 3229155072 in words is "three billion, two hundred twenty-nine million, one hundred fifty-five thousand, seventy-two".