3552906720 has 384 divisors, whose sum is σ = 12680478720. Its totient is φ = 828794880.

The previous prime is 3552906719. The next prime is 3552906727. The reversal of 3552906720 is 276092553.

It is a super-3 number, since 3×3552906720³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3552906727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25560411 + ... + 25560549.

It is an arithmetic number, because the mean of its divisors is an integer number (33022080).

Almost surely, 2^3552906720 is an apocalyptic number.

3552906720 is a gapful number since it is divisible by the number (30) 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 3552906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340239360).

3552906720 is an abundant number, since it is smaller than the sum of its proper divisors (9127572000).

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

3552906720 is a wasteful number, since it uses less digits than its factorization.

3552906720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 3552906720 is about 59606.2641003444. The cubic root of 3552906720 is about 1525.9065426041.

The spelling of 3552906720 in words is "three billion, five hundred fifty-two million, nine hundred six thousand, seven hundred twenty".