3782600640 has 896 divisors, whose sum is σ = 17451141120. Its totient is φ = 748486656.

The previous prime is 3782600597. The next prime is 3782600663. The reversal of 3782600640 is 460062873.

3782600640 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 6 + 0 + 0 + 640 = 666.

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 = 3782600595 and 3782600604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13365939 + ... + 13366221.

It is an arithmetic number, because the mean of its divisors is an integer number (19476720).

Almost surely, 2^3782600640 is an apocalyptic number.

3782600640 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 3782600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8725570560).

3782600640 is an abundant number, since it is smaller than the sum of its proper divisors (13668540480).

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

3782600640 is a wasteful number, since it uses less digits than its factorization.

3782600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3782600640 is about 61502.8506656399. The cubic root of 3782600640 is about 1558.1053922530.

The spelling of 3782600640 in words is "three billion, seven hundred eighty-two million, six hundred thousand, six hundred forty".