3628634976 has 192 divisors, whose sum is σ = 11068747200. Its totient is φ = 1155022848.

The previous prime is 3628634957. The next prime is 3628634981. The reversal of 3628634976 is 6794368263.

3628634976 is a `hidden beast` number, since 3 + 628 + 6 + 3 + 4 + 9 + 7 + 6 = 666.

It is a super-3 number, since 3×3628634976³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2429686 + ... + 2431178.

It is an arithmetic number, because the mean of its divisors is an integer number (57649725).

Almost surely, 2^3628634976 is an apocalyptic number.

3628634976 is a gapful number since it is divisible by the number (36) 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 3628634976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534373600).

3628634976 is an abundant number, since it is smaller than the sum of its proper divisors (7440112224).

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

3628634976 is a wasteful number, since it uses less digits than its factorization.

3628634976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1624 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 3628634976 is about 60238.1521628942. The cubic root of 3628634976 is about 1536.6717032871.

The spelling of 3628634976 in words is "three billion, six hundred twenty-eight million, six hundred thirty-four thousand, nine hundred seventy-six".