3489912864000 has 720 divisors, whose sum is σ = 13751165924496. Its totient is φ = 875888640000.

The previous prime is 3489912863993. The next prime is 3489912864001. The reversal of 3489912864000 is 4682199843.

3489912864000 is a `hidden beast` number, since 34 + 89 + 9 + 128 + 6 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 233822536704 + 3256090327296 = 483552^2 + 1804464^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 (3489912864001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44024400 + ... + 44103600.

Almost surely, 2^{3489912864000} is an apocalyptic number.

3489912864000 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 3489912864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6875582962248).

3489912864000 is an abundant number, since it is smaller than the sum of its proper divisors (10261253060496).

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

3489912864000 is an equidigital number, since it uses as much as digits as its factorization.

3489912864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79261 (or 79228 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 3489912864000 in words is "three trillion, four hundred eighty-nine billion, nine hundred twelve million, eight hundred sixty-four thousand".