3699561216 has 288 divisors, whose sum is σ = 11422591488. Its totient is φ = 1052835840.

The previous prime is 3699561211. The next prime is 3699561253. The reversal of 3699561216 is 6121659963.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3699561211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12050535 + ... + 12050841.

It is an arithmetic number, because the mean of its divisors is an integer number (39661776).

Almost surely, 2^3699561216 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 3699561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711295744).

3699561216 is an abundant number, since it is smaller than the sum of its proper divisors (7723030272).

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

3699561216 is a wasteful number, since it uses less digits than its factorization.

3699561216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its digits is 524880, while the sum is 48.

The square root of 3699561216 is about 60824.0184137812. The cubic root of 3699561216 is about 1546.6192309405.

The spelling of 3699561216 in words is "three billion, six hundred ninety-nine million, five hundred sixty-one thousand, two hundred sixteen".