3766803040 has 384 divisors, whose sum is σ = 12375659520. Its totient is φ = 1045094400.

The previous prime is 3766802987. The next prime is 3766803097. The reversal of 3766803040 is 403086673.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4644235 + ... + 4645045.

It is an arithmetic number, because the mean of its divisors is an integer number (32228280).

Almost surely, 2^3766803040 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 3766803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187829760).

3766803040 is an abundant number, since it is smaller than the sum of its proper divisors (8608856480).

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

3766803040 is a wasteful number, since it uses less digits than its factorization.

3766803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 3766803040 is about 61374.2864724308. The cubic root of 3766803040 is about 1555.9332824512.

The spelling of 3766803040 in words is "three billion, seven hundred sixty-six million, eight hundred three thousand, forty".