3016061629920 has 144 divisors (see below), whose sum is σ = 10293398492832. Its totient is φ = 804198067200.

The previous prime is 3016061629909. The next prime is 3016061629979. The reversal of 3016061629920 is 299261606103.

3016061629920 is a `hidden beast` number, since 3 + 0 + 1 + 6 + 0 + 616 + 2 + 9 + 9 + 20 = 666.

3016061629920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14151669 + ... + 14363211.

It is an arithmetic number, because the mean of its divisors is an integer number (71481933978).

Almost surely, 2^{3016061629920} is an apocalyptic number.

3016061629920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3016061629920 is an abundant number, since it is smaller than the sum of its proper divisors (7277336862912).

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

3016061629920 is a wasteful number, since it uses less digits than its factorization.

3016061629920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221465 (or 221454 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 3016061629920 in words is "three trillion, sixteen billion, sixty-one million, six hundred twenty-nine thousand, nine hundred twenty".