3480108613200 has 480 divisors, whose sum is σ = 12618583787520. Its totient is φ = 910753113600.

The previous prime is 3480108613169. The next prime is 3480108613213. The reversal of 3480108613200 is 23168010843.

3480108613200 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 10 + 8 + 613 + 20 + 0 = 666.

It is a super-2 number, since 2×3480108613200² (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 a congruent number.

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, 196086727 + ... + 196104473.

It is an arithmetic number, because the mean of its divisors is an integer number (26288716224).

Almost surely, 2^{3480108613200} is an apocalyptic number.

3480108613200 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 3480108613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309291893760).

3480108613200 is an abundant number, since it is smaller than the sum of its proper divisors (9138475174320).

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

3480108613200 is a wasteful number, since it uses less digits than its factorization.

3480108613200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18112 (or 18095 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 3480108613200 in words is "three trillion, four hundred eighty billion, one hundred eight million, six hundred thirteen thousand, two hundred".