3780907240 has 64 divisors (see below), whose sum is σ = 9301210560. Its totient is φ = 1371793920.

The previous prime is 3780907237. The next prime is 3780907241. The reversal of 3780907240 is 427090873.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3780907193 and 3780907202.

It is not an unprimeable number, because it can be changed into a prime (3780907241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191679 + ... + 210481.

It is an arithmetic number, because the mean of its divisors is an integer number (145331415).

Almost surely, 2^3780907240 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 3780907240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650605280).

3780907240 is an abundant number, since it is smaller than the sum of its proper divisors (5520303320).

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

3780907240 is a wasteful number, since it uses less digits than its factorization.

3780907240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19282 (or 19278 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 3780907240 is about 61489.0822829549. The cubic root of 3780907240 is about 1557.8728459393.

The spelling of 3780907240 in words is "three billion, seven hundred eighty million, nine hundred seven thousand, two hundred forty".