3780763740 has 144 divisors (see below), whose sum is σ = 12372211488. Its totient is φ = 929014272.

The previous prime is 3780763717. The next prime is 3780763741. The reversal of 3780763740 is 473670873.

3780763740 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 7 + 637 + 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 not an unprimeable number, because it can be changed into a prime (3780763741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1840554 + ... + 1842606.

Almost surely, 2^3780763740 is an apocalyptic number.

3780763740 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 3780763740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186105744).

3780763740 is an abundant number, since it is smaller than the sum of its proper divisors (8591447748).

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

3780763740 is a wasteful number, since it uses less digits than its factorization.

3780763740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 3780763740 is about 61487.9153980683. The cubic root of 3780763740 is about 1557.8531365973.

The spelling of 3780763740 in words is "three billion, seven hundred eighty million, seven hundred sixty-three thousand, seven hundred forty".