3702480655104 has 1728 divisors, whose sum is σ = 15002800404480. Its totient is φ = 887230955520.

The previous prime is 3702480655103. The next prime is 3702480655123. The reversal of 3702480655104 is 4015560842073.

3702480655104 is a `hidden beast` number, since 3 + 7 + 0 + 2 + 480 + 65 + 5 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a self number, because there is not a number n which added to its sum of digits gives 3702480655104.

It is not an unprimeable number, because it can be changed into a prime (3702480655103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3356736217 + ... + 3356737319.

It is an arithmetic number, because the mean of its divisors is an integer number (8682176160).

Almost surely, 2^{3702480655104} is an apocalyptic number.

3702480655104 is a gapful number since it is divisible by the number (34) 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 3702480655104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7501400202240).

3702480655104 is an abundant number, since it is smaller than the sum of its proper divisors (11300319749376).

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

3702480655104 is a wasteful number, since it uses less digits than its factorization.

3702480655104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 3702480655104 in words is "three trillion, seven hundred two billion, four hundred eighty million, six hundred fifty-five thousand, one hundred four".