3480082704000 has 1344 divisors, whose sum is σ = 15093052720200. Its totient is φ = 795316838400.

The previous prime is 3480082703957. The next prime is 3480082704011. The reversal of 3480082704000 is 4072800843.

3480082704000 is a `hidden beast` number, since 34 + 80 + 0 + 82 + 70 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 596960207424 + 2883122496576 = 772632^2 + 1697976^2 .

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3480082704000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 571532956 + ... + 571539044.

Almost surely, 2^{3480082704000} is an apocalyptic number.

3480082704000 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 3480082704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7546526360100).

3480082704000 is an abundant number, since it is smaller than the sum of its proper divisors (11612970016200).

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

3480082704000 is an frugal number, since it uses more digits than its factorization.

3480082704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 3480082704000 in words is "three trillion, four hundred eighty billion, eighty-two million, seven hundred four thousand".