3629024256 has 264 divisors, whose sum is σ = 11465034112. Its totient is φ = 1013760000.

The previous prime is 3629024219. The next prime is 3629024279. The reversal of 3629024256 is 6524209263.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4831881 + ... + 4832631.

Almost surely, 2^3629024256 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 3629024256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732517056).

3629024256 is an abundant number, since it is smaller than the sum of its proper divisors (7836009856).

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

3629024256 is a wasteful number, since it uses less digits than its factorization.

3629024256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3629024256 is about 60241.3832510509. The cubic root of 3629024256 is about 1536.7266527078.

The spelling of 3629024256 in words is "three billion, six hundred twenty-nine million, twenty-four thousand, two hundred fifty-six".