3550008000 has 896 divisors, whose sum is σ = 15611222016. Its totient is φ = 688128000.

The previous prime is 3550007971. The next prime is 3550008073. The reversal of 3550008000 is 8000553.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31415944 + ... + 31416056.

Almost surely, 2^3550008000 is an apocalyptic number.

3550008000 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 3550008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805611008).

3550008000 is an abundant number, since it is smaller than the sum of its proper divisors (12061214016).

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

3550008000 is a wasteful number, since it uses less digits than its factorization.

3550008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 3550008000 is about 59581.9435735358. The cubic root of 3550008000 is about 1525.4914478076.

Adding to 3550008000 its reverse (8000553), we get a palindrome (3558008553).

The spelling of 3550008000 in words is "three billion, five hundred fifty million, eight thousand".