3705511680 has 432 divisors, whose sum is σ = 13994940960. Its totient is φ = 899776512.

The previous prime is 3705511657. The next prime is 3705511703. The reversal of 3705511680 is 861155073.

It is an interprime number because it is at equal distance from previous prime (3705511657) and next prime (3705511703).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 16323727 + ... + 16323953.

Almost surely, 2^3705511680 is an apocalyptic number.

3705511680 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 3705511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997470480).

3705511680 is an abundant number, since it is smaller than the sum of its proper divisors (10289429280).

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

3705511680 is a wasteful number, since it uses less digits than its factorization.

3705511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 3705511680 is about 60872.9141737111. The cubic root of 3705511680 is about 1547.4479933944.

The spelling of 3705511680 in words is "three billion, seven hundred five million, five hundred eleven thousand, six hundred eighty".