3705367680 has 320 divisors, whose sum is σ = 15124380480. Its totient is φ = 846858240.

The previous prime is 3705367657. The next prime is 3705367697. The reversal of 3705367680 is 867635073.

3705367680 is a `hidden beast` number, since 37 + 0 + 536 + 7 + 6 + 80 = 666.

3705367680 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 (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 357775 + ... + 367985.

It is an arithmetic number, because the mean of its divisors is an integer number (47263689).

Almost surely, 2^3705367680 is an apocalyptic number.

3705367680 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 3705367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562190240).

3705367680 is an abundant number, since it is smaller than the sum of its proper divisors (11419012800).

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

3705367680 is a wasteful number, since it uses less digits than its factorization.

3705367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10249 (or 10228 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3705367680 is about 60871.7313701524. The cubic root of 3705367680 is about 1547.4279479939.

The spelling of 3705367680 in words is "three billion, seven hundred five million, three hundred sixty-seven thousand, six hundred eighty".