3482923961088 has 1296 divisors, whose sum is σ = 12986729342496. Its totient is φ = 915861012480.

The previous prime is 3482923961081. The next prime is 3482923961089. The reversal of 3482923961088 is 8801693292843.

3482923961088 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 9 + 2 + 3 + 9 + 610 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is not an unprimeable number, because it can be changed into a prime (3482923961081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4083146070 + ... + 4083146922.

Almost surely, 2^{3482923961088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3482923961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493364671248).

3482923961088 is an abundant number, since it is smaller than the sum of its proper divisors (9503805381408).

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

3482923961088 is an equidigital number, since it uses as much as digits as its factorization.

3482923961088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 3482923961088 in words is "three trillion, four hundred eighty-two billion, nine hundred twenty-three million, nine hundred sixty-one thousand, eighty-eight".