3034961788320 has 576 divisors, whose sum is σ = 13479970492800. Its totient is φ = 630640926720.

The previous prime is 3034961788307. The next prime is 3034961788321. The reversal of 3034961788320 is 238871694303.

3034961788320 is a `hidden beast` number, since 3 + 0 + 3 + 496 + 1 + 78 + 83 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3034961788321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1676776 + ... + 2980184.

It is an arithmetic number, because the mean of its divisors is an integer number (23402726550).

Almost surely, 2^{3034961788320} is an apocalyptic number.

3034961788320 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 3034961788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739985246400).

3034961788320 is an abundant number, since it is smaller than the sum of its proper divisors (10445008704480).

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

3034961788320 is a wasteful number, since it uses less digits than its factorization.

3034961788320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303458 (or 1303437 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3034961788320 in words is "three trillion, thirty-four billion, nine hundred sixty-one million, seven hundred eighty-eight thousand, three hundred twenty".