3629696616 has 256 divisors, whose sum is σ = 13063680000. Its totient is φ = 906806016.

The previous prime is 3629696593. The next prime is 3629696657. The reversal of 3629696616 is 6166969263.

It is a happy number.

3629696616 is a `hidden beast` number, since 3 + 629 + 6 + 9 + 6 + 6 + 1 + 6 = 666.

It is a super-3 number, since 3×3629696616³ (a number of 30 digits) contains 333 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368605 + ... + 378323.

It is an arithmetic number, because the mean of its divisors is an integer number (51030000).

Almost surely, 2^3629696616 is an apocalyptic number.

3629696616 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 3629696616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840000).

3629696616 is an abundant number, since it is smaller than the sum of its proper divisors (9433983384).

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

3629696616 is a wasteful number, since it uses less digits than its factorization.

3629696616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9773 (or 9763 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 3629696616 is about 60246.9635417421. The cubic root of 3629696616 is about 1536.8215514700.

The spelling of 3629696616 in words is "three billion, six hundred twenty-nine million, six hundred ninety-six thousand, six hundred sixteen".