3766028840 has 64 divisors (see below), whose sum is σ = 9699644160. Its totient is φ = 1289134080.

The previous prime is 3766028839. The next prime is 3766028863. The reversal of 3766028840 is 488206673.

It is a junction number, because it is equal to n+sod(n) for n = 3766028791 and 3766028800.

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, 168989 + ... + 189971.

It is an arithmetic number, because the mean of its divisors is an integer number (151556940).

Almost surely, 2^3766028840 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 3766028840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849822080).

3766028840 is an abundant number, since it is smaller than the sum of its proper divisors (5933615320).

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

3766028840 is a wasteful number, since it uses less digits than its factorization.

3766028840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21642 (or 21638 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 3766028840 is about 61367.9789466787. The cubic root of 3766028840 is about 1555.8266769228.

The spelling of 3766028840 in words is "three billion, seven hundred sixty-six million, twenty-eight thousand, eight hundred forty".