3764206080 has 280 divisors, whose sum is σ = 13538427012. Its totient is φ = 1003290624.

The previous prime is 3764206073. The next prime is 3764206099. The reversal of 3764206080 is 806024673.

3764206080 is a `hidden beast` number, since 3 + 7 + 6 + 42 + 0 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3710271744 + 53934336 = 60912^2 + 7344^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1865232 + ... + 1867248.

Almost surely, 2^3764206080 is an apocalyptic number.

3764206080 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 3764206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769213506).

3764206080 is an abundant number, since it is smaller than the sum of its proper divisors (9774220932).

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

3764206080 is an frugal number, since it uses more digits than its factorization.

3764206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3764206080 is about 61353.1260817246. The cubic root of 3764206080 is about 1555.5756294311.

The spelling of 3764206080 in words is "three billion, seven hundred sixty-four million, two hundred six thousand, eighty".