3628855296 has 416 divisors, whose sum is σ = 12424108800. Its totient is φ = 1035141120.

The previous prime is 3628855261. The next prime is 3628855313. The reversal of 3628855296 is 6925588263.

3628855296 is a `hidden beast` number, since 3 + 6 + 2 + 88 + 552 + 9 + 6 = 666.

It is a super-4 number, since 4×3628855296⁴ (a number of 39 digits) contains 4444 as substring.

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

Its product of digits (6220800) is a multiple of the sum of its prime divisors (192).

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, 23113650 + ... + 23113806.

Almost surely, 2^3628855296 is an apocalyptic number.

3628855296 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 3628855296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212054400).

3628855296 is an abundant number, since it is smaller than the sum of its proper divisors (8795253504).

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

3628855296 is a wasteful number, since it uses less digits than its factorization.

3628855296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 192 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 3628855296 is about 60239.9808764910. The cubic root of 3628855296 is about 1536.7028033803.

The spelling of 3628855296 in words is "three billion, six hundred twenty-eight million, eight hundred fifty-five thousand, two hundred ninety-six".