3480245795400 has 768 divisors, whose sum is σ = 12339873054720. Its totient is φ = 803779200000.

The previous prime is 3480245795399. The next prime is 3480245795423. The reversal of 3480245795400 is 45975420843.

It is a super-2 number, since 2×3480245795400² (a number of 26 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 3923613757 + ... + 3923614643.

It is an arithmetic number, because the mean of its divisors is an integer number (16067543040).

Almost surely, 2^{3480245795400} is an apocalyptic number.

3480245795400 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 3480245795400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169936527360).

3480245795400 is an abundant number, since it is smaller than the sum of its proper divisors (8859627259320).

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

3480245795400 is a wasteful number, since it uses less digits than its factorization.

3480245795400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 3480245795400 in words is "three trillion, four hundred eighty billion, two hundred forty-five million, seven hundred ninety-five thousand, four hundred".