3705387840 has 1008 divisors, whose sum is σ = 16863974400. Its totient is φ = 745113600.

The previous prime is 3705387839. The next prime is 3705387979. The reversal of 3705387840 is 487835073.

3705387840 is a `hidden beast` number, since 3 + 7 + 0 + 538 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 119528625 + ... + 119528655.

Almost surely, 2^3705387840 is an apocalyptic number.

3705387840 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 3705387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8431987200).

3705387840 is an abundant number, since it is smaller than the sum of its proper divisors (13158586560).

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

3705387840 is a wasteful number, since it uses less digits than its factorization.

3705387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3705387840 is about 60871.8969640342. The cubic root of 3705387840 is about 1547.4307543812.

The spelling of 3705387840 in words is "three billion, seven hundred five million, three hundred eighty-seven thousand, eight hundred forty".