3629408256 has 224 divisors, whose sum is σ = 10970056800. Its totient is φ = 1185546240.

The previous prime is 3629408171. The next prime is 3629408269. The reversal of 3629408256 is 6528049263.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13492090 + ... + 13492358.

Almost surely, 2^3629408256 is an apocalyptic number.

3629408256 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 3629408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485028400).

3629408256 is an abundant number, since it is smaller than the sum of its proper divisors (7340648544).

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

3629408256 is an equidigital number, since it uses as much as digits as its factorization.

3629408256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3629408256 is about 60244.5703445547. The cubic root of 3629408256 is about 1536.7808529722.

The spelling of 3629408256 in words is "three billion, six hundred twenty-nine million, four hundred eight thousand, two hundred fifty-six".