3707345479680 has 672 divisors, whose sum is σ = 13663506827880. Its totient is φ = 964433018880.

The previous prime is 3707345479657. The next prime is 3707345479687. The reversal of 3707345479680 is 869745437073.

3707345479680 is a `hidden beast` number, since 3 + 7 + 0 + 7 + 3 + 4 + 547 + 9 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1632915956736 + 2074429522944 = 1277856^2 + 1440288^2 .

It is not an unprimeable number, because it can be changed into a prime (3707345479687) 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 55 ways as a sum of consecutive naturals, for example, 306057304 + ... + 306069416.

Almost surely, 2^{3707345479680} is an apocalyptic number.

3707345479680 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 3707345479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831753413940).

3707345479680 is an abundant number, since it is smaller than the sum of its proper divisors (9956161348200).

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

3707345479680 is an equidigital number, since it uses as much as digits as its factorization.

3707345479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12199 (or 12164 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 3707345479680 in words is "three trillion, seven hundred seven billion, three hundred forty-five million, four hundred seventy-nine thousand, six hundred eighty".