3766085520 has 80 divisors (see below), whose sum is σ = 11723892480. Its totient is φ = 1000072192.

The previous prime is 3766085507. The next prime is 3766085537. The reversal of 3766085520 is 255806673.

3766085520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24532 + ... + 90188.

It is an arithmetic number, because the mean of its divisors is an integer number (146548656).

Almost surely, 2^3766085520 is an apocalyptic number.

3766085520 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 3766085520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5861946240).

3766085520 is an abundant number, since it is smaller than the sum of its proper divisors (7957806960).

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

3766085520 is a wasteful number, since it uses less digits than its factorization.

3766085520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65912 (or 65906 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 3766085520 is about 61368.4407492972. The cubic root of 3766085520 is about 1555.8344821218.

The spelling of 3766085520 in words is "three billion, seven hundred sixty-six million, eighty-five thousand, five hundred twenty".