3766341240 has 160 divisors (see below), whose sum is σ = 12928956480. Its totient is φ = 982948608.

The previous prime is 3766341203. The next prime is 3766341289. The reversal of 3766341240 is 421436673.

It is a happy number.

3766341240 is a `hidden beast` number, since 3 + 7 + 6 + 634 + 12 + 4 + 0 = 666.

It is a super-2 number, since 2×3766341240² = 28370652672249475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3766341195 and 3766341204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139914 + ... + 164646.

It is an arithmetic number, because the mean of its divisors is an integer number (80805978).

Almost surely, 2^3766341240 is an apocalyptic number.

3766341240 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 3766341240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464478240).

3766341240 is an abundant number, since it is smaller than the sum of its proper divisors (9162615240).

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

3766341240 is a wasteful number, since it uses less digits than its factorization.

3766341240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24803 (or 24790 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3766341240 is about 61370.5241952519. The cubic root of 3766341240 is about 1555.8696954299.

The spelling of 3766341240 in words is "three billion, seven hundred sixty-six million, three hundred forty-one thousand, two hundred forty".