3634571952 has 160 divisors (see below), whose sum is σ = 11416412160. Its totient is φ = 1097959680.

The previous prime is 3634571917. The next prime is 3634571953. The reversal of 3634571952 is 2591754363.

3634571952 is a `hidden beast` number, since 3 + 6 + 3 + 457 + 195 + 2 = 666.

It is a super-2 number, since 2×3634571952² = 26420226548530180608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3634571898 and 3634571907.

It is not an unprimeable number, because it can be changed into a prime (3634571953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1819018 + ... + 1821014.

It is an arithmetic number, because the mean of its divisors is an integer number (71352576).

Almost surely, 2^3634571952 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 3634571952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708206080).

3634571952 is an abundant number, since it is smaller than the sum of its proper divisors (7781840208).

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

3634571952 is a wasteful number, since it uses less digits than its factorization.

3634571952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2396 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 3634571952 is about 60287.4112232396. The cubic root of 3634571952 is about 1537.5093196342.

The spelling of 3634571952 in words is "three billion, six hundred thirty-four million, five hundred seventy-one thousand, nine hundred fifty-two".