3766590720 has 360 divisors, whose sum is σ = 14277025224. Its totient is φ = 944898048.

The previous prime is 3766590701. The next prime is 3766590721. The reversal of 3766590720 is 270956673.

3766590720 is a `hidden beast` number, since 37 + 6 + 6 + 590 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126157824 + 3640432896 = 11232^2 + 60336^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3766590721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1761492 + ... + 1763628.

Almost surely, 2^3766590720 is an apocalyptic number.

3766590720 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 3766590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138512612).

3766590720 is an abundant number, since it is smaller than the sum of its proper divisors (10510434504).

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

3766590720 is a wasteful number, since it uses less digits than its factorization.

3766590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3766590720 is about 61372.5567334456. The cubic root of 3766590720 is about 1555.9040479378.

The spelling of 3766590720 in words is "three billion, seven hundred sixty-six million, five hundred ninety thousand, seven hundred twenty".