3766264720 has 80 divisors (see below), whose sum is σ = 9153342720. Its totient is φ = 1438474752.

The previous prime is 3766264717. The next prime is 3766264729. The reversal of 3766264720 is 274626673.

It is a happy number.

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

It is a super-2 number, since 2×3766264720² = 28369499882233356800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3766264729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1303117 + ... + 1306003.

It is an arithmetic number, because the mean of its divisors is an integer number (114416784).

Almost surely, 2^3766264720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3766264720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576671360).

3766264720 is an abundant number, since it is smaller than the sum of its proper divisors (5387078000).

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

3766264720 is a wasteful number, since it uses less digits than its factorization.

3766264720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 43.

The square root of 3766264720 is about 61369.9007657663. The cubic root of 3766264720 is about 1555.8591585943.

The spelling of 3766264720 in words is "three billion, seven hundred sixty-six million, two hundred sixty-four thousand, seven hundred twenty".