3782635164 has 216 divisors, whose sum is σ = 12223725696. Its totient is φ = 975240000.

The previous prime is 3782635141. The next prime is 3782635189. The reversal of 3782635164 is 4615362873.

3782635164 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 635 + 1 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2929359 + ... + 2930649.

Almost surely, 2^3782635164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3782635164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6111862848).

3782635164 is an abundant number, since it is smaller than the sum of its proper divisors (8441090532).

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

3782635164 is a wasteful number, since it uses less digits than its factorization.

3782635164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1465 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3782635164 is about 61503.1313349166. The cubic root of 3782635164 is about 1558.1101325425.

The spelling of 3782635164 in words is "three billion, seven hundred eighty-two million, six hundred thirty-five thousand, one hundred sixty-four".