3553072704 has 168 divisors, whose sum is σ = 10513634040. Its totient is φ = 1146396672.

The previous prime is 3553072703. The next prime is 3553072723. The reversal of 3553072704 is 4072703553.

3553072704 is a `hidden beast` number, since 355 + 30 + 7 + 270 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1517258304 + 2035814400 = 38952^2 + 45120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3553072703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6244132 + ... + 6244700.

It is an arithmetic number, because the mean of its divisors is an integer number (62581155).

Almost surely, 2^3553072704 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 3553072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256817020).

3553072704 is an abundant number, since it is smaller than the sum of its proper divisors (6960561336).

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

3553072704 is a wasteful number, since it uses less digits than its factorization.

3553072704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 3553072704 is about 59607.6564209666. The cubic root of 3553072704 is about 1525.9303045683.

The spelling of 3553072704 in words is "three billion, five hundred fifty-three million, seventy-two thousand, seven hundred four".