3229155072000 has 2688 divisors, whose sum is σ = 14310927408960. Its totient is φ = 722608128000.

The previous prime is 3229155071981. The next prime is 3229155072029. The reversal of 3229155072000 is 2705519223.

3229155072000 is a `hidden beast` number, since 32 + 2 + 9 + 1 + 550 + 72 + 0 + 0 + 0 = 666.

It is a super-5 number, since 5×3229155072000⁵ (a number of 64 digits) contains 55555 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 248396543994 + ... + 248396544006.

Almost surely, 2^{3229155072000} is an apocalyptic number.

3229155072000 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 3229155072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155463704480).

3229155072000 is an abundant number, since it is smaller than the sum of its proper divisors (11081772336960).

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

3229155072000 is an frugal number, since it uses more digits than its factorization.

3229155072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 34 counting only the distinct ones).

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

The spelling of 3229155072000 in words is "three trillion, two hundred twenty-nine billion, one hundred fifty-five million, seventy-two thousand".