3483094148352 has 864 divisors, whose sum is σ = 13007139532800. Its totient is φ = 911238709248.

The previous prime is 3483094148311. The next prime is 3483094148357. The reversal of 3483094148352 is 2538414903843.

3483094148352 is a `hidden beast` number, since 3 + 48 + 30 + 9 + 41 + 483 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3483094148357) 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, 559170774 + ... + 559177002.

Almost surely, 2^{3483094148352} is an apocalyptic number.

3483094148352 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 3483094148352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6503569766400).

3483094148352 is an abundant number, since it is smaller than the sum of its proper divisors (9524045384448).

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

3483094148352 is a wasteful number, since it uses less digits than its factorization.

3483094148352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 3483094148352 in words is "three trillion, four hundred eighty-three billion, ninety-four million, one hundred forty-eight thousand, three hundred fifty-two".