3775063824 has 240 divisors, whose sum is σ = 12513865728. Its totient is φ = 1039868928.

The previous prime is 3775063801. The next prime is 3775063837. The reversal of 3775063824 is 4283605773.

3775063824 is a `hidden beast` number, since 3 + 7 + 7 + 5 + 0 + 638 + 2 + 4 = 666.

It is a super-2 number, since 2×3775063824² = 28502213750547005952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3775063824.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4736194 + ... + 4736990.

Almost surely, 2^3775063824 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 3775063824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256932864).

3775063824 is an abundant number, since it is smaller than the sum of its proper divisors (8738801904).

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

3775063824 is a wasteful number, since it uses less digits than its factorization.

3775063824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3775063824 is about 61441.5480273731. The cubic root of 3775063824 is about 1557.0698646880.

The spelling of 3775063824 in words is "three billion, seven hundred seventy-five million, sixty-three thousand, eight hundred twenty-four".