3629267712 has 648 divisors, whose sum is σ = 13522384512. Its totient is φ = 928972800.

The previous prime is 3629267701. The next prime is 3629267717. The reversal of 3629267712 is 2177629263.

3629267712 is a `hidden beast` number, since 3 + 629 + 2 + 6 + 7 + 7 + 12 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3629267717) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59496162 + ... + 59496222.

Almost surely, 2^3629267712 is an apocalyptic number.

3629267712 is a gapful number since it is divisible by the number (32) 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 3629267712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761192256).

3629267712 is an abundant number, since it is smaller than the sum of its proper divisors (9893116800).

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

3629267712 is a wasteful number, since it uses less digits than its factorization.

3629267712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 3629267712 is about 60243.4038878946. The cubic root of 3629267712 is about 1536.7610161190.

The spelling of 3629267712 in words is "three billion, six hundred twenty-nine million, two hundred sixty-seven thousand, seven hundred twelve".