3707106480 has 640 divisors, whose sum is σ = 16456089600. Its totient is φ = 744422400.

The previous prime is 3707106463. The next prime is 3707106503. The reversal of 3707106480 is 846017073.

3707106480 is a `hidden beast` number, since 3 + 7 + 0 + 7 + 1 + 0 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 5155561 + ... + 5156279.

It is an arithmetic number, because the mean of its divisors is an integer number (25712640).

Almost surely, 2^3707106480 is an apocalyptic number.

3707106480 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 3707106480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228044800).

3707106480 is an abundant number, since it is smaller than the sum of its proper divisors (12748983120).

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

3707106480 is a wasteful number, since it uses less digits than its factorization.

3707106480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3707106480 is about 60886.0121867084. The cubic root of 3707106480 is about 1547.6699614888.

The spelling of 3707106480 in words is "three billion, seven hundred seven million, one hundred six thousand, four hundred eighty".