3480704880400 has 480 divisors, whose sum is σ = 9763577948160. Its totient is φ = 1179999744000.

The previous prime is 3480704880397. The next prime is 3480704880421. The reversal of 3480704880400 is 40884070843.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

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, 639480079 + ... + 639485521.

It is an arithmetic number, because the mean of its divisors is an integer number (20340787392).

Almost surely, 2^{3480704880400} 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 3480704880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881788974080).

3480704880400 is an abundant number, since it is smaller than the sum of its proper divisors (6282873067760).

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

3480704880400 is a wasteful number, since it uses less digits than its factorization.

3480704880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The spelling of 3480704880400 in words is "three trillion, four hundred eighty billion, seven hundred four million, eight hundred eighty thousand, four hundred".