3629005776 has 480 divisors, whose sum is σ = 12722935680. Its totient is φ = 951091200.

The previous prime is 3629005703. The next prime is 3629005781. The reversal of 3629005776 is 6775009263.

3629005776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20976826 + ... + 20976998.

It is an arithmetic number, because the mean of its divisors is an integer number (26506116).

Almost surely, 2^3629005776 is an apocalyptic number.

3629005776 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 3629005776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361467840).

3629005776 is an abundant number, since it is smaller than the sum of its proper divisors (9093929904).

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

3629005776 is a wasteful number, since it uses less digits than its factorization.

3629005776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3629005776 is about 60241.2298679235. The cubic root of 3629005776 is about 1536.7240442237.

The spelling of 3629005776 in words is "three billion, six hundred twenty-nine million, five thousand, seven hundred seventy-six".