3480964812000 has 576 divisors, whose sum is σ = 14086882502784. Its totient is φ = 806447923200.

The previous prime is 3480964811981. The next prime is 3480964812001. The reversal of 3480964812000 is 2184690843.

It is a happy number.

3480964812000 is a `hidden beast` number, since 3 + 4 + 80 + 96 + 481 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480964812001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7737237 + ... + 8174763.

It is an arithmetic number, because the mean of its divisors is an integer number (24456393234).

Almost surely, 2^{3480964812000} is an apocalyptic number.

3480964812000 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 3480964812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043441251392).

3480964812000 is an abundant number, since it is smaller than the sum of its proper divisors (10605917690784).

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

3480964812000 is a wasteful number, since it uses less digits than its factorization.

3480964812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437588 (or 437567 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 3480964812000 in words is "three trillion, four hundred eighty billion, nine hundred sixty-four million, eight hundred twelve thousand".