3797660160 has 640 divisors, whose sum is σ = 15838986240. Its totient is φ = 844480512.

The previous prime is 3797660159. The next prime is 3797660173. The reversal of 3797660160 is 610667973.

3797660160 is a `hidden beast` number, since 37 + 9 + 7 + 6 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22740397 + ... + 22740563.

It is an arithmetic number, because the mean of its divisors is an integer number (24748416).

Almost surely, 2^3797660160 is an apocalyptic number.

3797660160 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 3797660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919493120).

3797660160 is an abundant number, since it is smaller than the sum of its proper divisors (12041326080).

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

3797660160 is a wasteful number, since it uses less digits than its factorization.

3797660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 3797660160 is about 61625.1584987820. The cubic root of 3797660160 is about 1560.1703955885.

The spelling of 3797660160 in words is "three billion, seven hundred ninety-seven million, six hundred sixty thousand, one hundred sixty".