3608566416 has 480 divisors, whose sum is σ = 13419141120. Its totient is φ = 907365888.

The previous prime is 3608566399. The next prime is 3608566433. The reversal of 3608566416 is 6146658063.

It is an interprime number because it is at equal distance from previous prime (3608566399) and next prime (3608566433).

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, 11754135 + ... + 11754441.

It is an arithmetic number, because the mean of its divisors is an integer number (27956544).

Almost surely, 2^3608566416 is an apocalyptic number.

3608566416 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 3608566416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709570560).

3608566416 is an abundant number, since it is smaller than the sum of its proper divisors (9810574704).

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

3608566416 is a wasteful number, since it uses less digits than its factorization.

3608566416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3608566416 is about 60071.3443831583. The cubic root of 3608566416 is about 1533.8335546688.

The spelling of 3608566416 in words is "three billion, six hundred eight million, five hundred sixty-six thousand, four hundred sixteen".