3701648160 has 864 divisors, whose sum is σ = 15999197760. Its totient is φ = 804722688.

The previous prime is 3701648149. The next prime is 3701648173. The reversal of 3701648160 is 618461073.

3701648160 is a `hidden beast` number, since 3 + 7 + 0 + 1 + 648 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55248447 + ... + 55248513.

It is an arithmetic number, because the mean of its divisors is an integer number (18517590).

Almost surely, 2^3701648160 is an apocalyptic number.

3701648160 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 3701648160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999598880).

3701648160 is an abundant number, since it is smaller than the sum of its proper divisors (12297549600).

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

3701648160 is a wasteful number, since it uses less digits than its factorization.

3701648160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3701648160 is about 60841.1715863526. The cubic root of 3701648160 is about 1546.9099952413.

The spelling of 3701648160 in words is "three billion, seven hundred one million, six hundred forty-eight thousand, one hundred sixty".