3696029568 has 1024 divisors, whose sum is σ = 15510528000. Its totient is φ = 836075520.

The previous prime is 3696029563. The next prime is 3696029633. The reversal of 3696029568 is 8659206963.

3696029568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3696029563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85954155 + ... + 85954197.

It is an arithmetic number, because the mean of its divisors is an integer number (15147000).

Almost surely, 2^3696029568 is an apocalyptic number.

3696029568 is a gapful number since it is divisible by the number (38) 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 3696029568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755264000).

3696029568 is an abundant number, since it is smaller than the sum of its proper divisors (11814498432).

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

3696029568 is a wasteful number, since it uses less digits than its factorization.

3696029568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 3696029568 is about 60794.9797927428. The cubic root of 3696029568 is about 1546.1269334864.

The spelling of 3696029568 in words is "three billion, six hundred ninety-six million, twenty-nine thousand, five hundred sixty-eight".