3484700466912 has 384 divisors, whose sum is σ = 11658419942400. Its totient is φ = 991973081088.

The previous prime is 3484700466887. The next prime is 3484700467009. The reversal of 3484700466912 is 2196640074843.

3484700466912 is a `hidden beast` number, since 3 + 48 + 470 + 0 + 46 + 6 + 91 + 2 = 666.

3484700466912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3176572348 + ... + 3176573444.

It is an arithmetic number, because the mean of its divisors is an integer number (30360468600).

Almost surely, 2^{3484700466912} is an apocalyptic number.

3484700466912 is a gapful number since it is divisible by the number (32) 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 3484700466912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829209971200).

3484700466912 is an abundant number, since it is smaller than the sum of its proper divisors (8173719475488).

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

3484700466912 is a wasteful number, since it uses less digits than its factorization.

3484700466912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3484700466912 in words is "three trillion, four hundred eighty-four billion, seven hundred million, four hundred sixty-six thousand, nine hundred twelve".