3554880000 has 600 divisors, whose sum is σ = 14138449248. Its totient is φ = 777216000.

The previous prime is 3554879989. The next prime is 3554880011. The reversal of 3554880000 is 884553.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3554879989) and next prime (3554880011).

It is a tau number, because it is divible by the number of its divisors (600).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 154559989 + ... + 154560011.

Almost surely, 2^3554880000 is an apocalyptic number.

3554880000 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 3554880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7069224624).

3554880000 is an abundant number, since it is smaller than the sum of its proper divisors (10583569248).

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

3554880000 is an frugal number, since it uses more digits than its factorization.

3554880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 3554880000 is about 59622.8144253523. The cubic root of 3554880000 is about 1526.1889858568.

It can be divided in two parts, 3 and 554880000, that multiplied together give a square (1664640000 = 40800²).

The spelling of 3554880000 in words is "three billion, five hundred fifty-four million, eight hundred eighty thousand".