3020630096016 has 225 divisors, whose sum is σ = 9168706956461. Its totient is φ = 928340135424.

The previous prime is 3020630095999. The next prime is 3020630096023. The reversal of 3020630096016 is 6106900360203.

The square root of 3020630096016 is 1737996.

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

3020630096016 is a `hidden beast` number, since 3 + 0 + 2 + 0 + 630 + 0 + 9 + 6 + 0 + 16 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2286688352400 + 733941743616 = 1512180^2 + 856704^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3524655460 + ... + 3524656316.

Almost surely, 2^{3020630096016} is an apocalyptic number.

3020630096016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3020630096016 is the 1737996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020630096016

3020630096016 is an abundant number, since it is smaller than the sum of its proper divisors (6148076860445).

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

3020630096016 is an frugal number, since it uses more digits than its factorization.

3020630096016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Multiplying 3020630096016 by its sum of digits (36), we get a square (108742683456576 = 10427976²).

3020630096016 divided by its sum of digits (36) gives a square (83906391556 = 289666²).

The spelling of 3020630096016 in words is "three trillion, twenty billion, six hundred thirty million, ninety-six thousand, sixteen".