3719680640 has 128 divisors (see below), whose sum is σ = 9605070720. Its totient is φ = 1369313280.

The previous prime is 3719680637. The next prime is 3719680661. The reversal of 3719680640 is 460869173.

3719680640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3719680591 and 3719680600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5382695 + ... + 5383385.

It is an arithmetic number, because the mean of its divisors is an integer number (75039615).

Almost surely, 2^3719680640 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 3719680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802535360).

3719680640 is an abundant number, since it is smaller than the sum of its proper divisors (5885390080).

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

3719680640 is a wasteful number, since it uses less digits than its factorization.

3719680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 3719680640 is about 60989.1846149791. The cubic root of 3719680640 is about 1549.4178375652.

The spelling of 3719680640 in words is "three billion, seven hundred nineteen million, six hundred eighty thousand, six hundred forty".