3760683840 has 168 divisors, whose sum is σ = 13016167008. Its totient is φ = 996572160.

The previous prime is 3760683833. The next prime is 3760683859. The reversal of 3760683840 is 483860673.

3760683840 is a `hidden beast` number, since 3 + 7 + 606 + 8 + 38 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465435 + ... + 473445.

Almost surely, 2^3760683840 is an apocalyptic number.

3760683840 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 3760683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508083504).

3760683840 is an abundant number, since it is smaller than the sum of its proper divisors (9255483168).

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

3760683840 is a wasteful number, since it uses less digits than its factorization.

3760683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8197 (or 8184 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3760683840 is about 61324.4147138805. The cubic root of 3760683840 is about 1555.0902840092.

The spelling of 3760683840 in words is "three billion, seven hundred sixty million, six hundred eighty-three thousand, eight hundred forty".