3069504000000 has 819 divisors, whose sum is σ = 11236724312619. Its totient is φ = 807321600000.

The previous prime is 3069503999977. The next prime is 3069504000029. The reversal of 3069504000000 is 4059603.

It is a happy number.

The square root of 3069504000000 is 1752000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 2692959768576 + 376544231424 = 1641024^2 + 613632^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 42047999964 + ... + 42048000036.

Almost surely, 2^{3069504000000} is an apocalyptic number.

3069504000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3069504000000 is the 1752000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3069504000000

3069504000000 is an abundant number, since it is smaller than the sum of its proper divisors (8167220312619).

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

3069504000000 is an frugal number, since it uses more digits than its factorization.

3069504000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 3069504000000 its reverse (4059603), we get a palindrome (3069508059603).

The spelling of 3069504000000 in words is "three trillion, sixty-nine billion, five hundred four million", and thus it is an aban number.