3484054684800 has 1152 divisors, whose sum is σ = 14010503270400. Its totient is φ = 851677286400.

The previous prime is 3484054684729. The next prime is 3484054684811. The reversal of 3484054684800 is 84864504843.

It is a happy number.

3484054684800 is a `hidden beast` number, since 3 + 48 + 405 + 46 + 84 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 458002597 + ... + 458010203.

It is an arithmetic number, because the mean of its divisors is an integer number (12161895200).

Almost surely, 2^{3484054684800} is an apocalyptic number.

3484054684800 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 3484054684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005251635200).

3484054684800 is an abundant number, since it is smaller than the sum of its proper divisors (10526448585600).

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

3484054684800 is a wasteful number, since it uses less digits than its factorization.

3484054684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7696 (or 7667 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 3484054684800 in words is "three trillion, four hundred eighty-four billion, fifty-four million, six hundred eighty-four thousand, eight hundred".