3701206080 has 1008 divisors, whose sum is σ = 16231575360. Its totient is φ = 766402560.

The previous prime is 3701206063. The next prime is 3701206087. The reversal of 3701206080 is 806021073.

3701206080 is a `hidden beast` number, since 37 + 0 + 1 + 20 + 608 + 0 = 666.

3701206080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3701206087) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86074539 + ... + 86074581.

Almost surely, 2^3701206080 is an apocalyptic number.

3701206080 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 3701206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8115787680).

3701206080 is an abundant number, since it is smaller than the sum of its proper divisors (12530369280).

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

3701206080 is a wasteful number, since it uses less digits than its factorization.

3701206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3701206080 is about 60837.5384117405. The cubic root of 3701206080 is about 1546.8484113948.

The spelling of 3701206080 in words is "three billion, seven hundred one million, two hundred six thousand, eighty".