3766035840 has 512 divisors, whose sum is σ = 14847805440. Its totient is φ = 792330240.

The previous prime is 3766035839. The next prime is 3766035869. The reversal of 3766035840 is 485306673.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3766035792 and 3766035801.

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, 12109285 + ... + 12109595.

It is an arithmetic number, because the mean of its divisors is an integer number (28999620).

Almost surely, 2^3766035840 is an apocalyptic number.

3766035840 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 3766035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7423902720).

3766035840 is an abundant number, since it is smaller than the sum of its proper divisors (11081769600).

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

3766035840 is a wasteful number, since it uses less digits than its factorization.

3766035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 3766035840 is about 61368.0359796531. The cubic root of 3766035840 is about 1555.8276408718.

The spelling of 3766035840 in words is "three billion, seven hundred sixty-six million, thirty-five thousand, eight hundred forty".