3678704640 has 704 divisors, whose sum is σ = 14856307200. Its totient is φ = 856424448.

The previous prime is 3678704633. The next prime is 3678704641. The reversal of 3678704640 is 464078763.

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 (3678704641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41333716 + ... + 41333804.

Almost surely, 2^3678704640 is an apocalyptic number.

3678704640 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 3678704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7428153600).

3678704640 is an abundant number, since it is smaller than the sum of its proper divisors (11177602560).

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

3678704640 is a wasteful number, since it uses less digits than its factorization.

3678704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3678704640 is about 60652.3259240732. The cubic root of 3678704640 is about 1543.7073550263.

The spelling of 3678704640 in words is "three billion, six hundred seventy-eight million, seven hundred four thousand, six hundred forty".