3543387120 has 480 divisors, whose sum is σ = 15196027392. Its totient is φ = 747242496.

The previous prime is 3543387119. The next prime is 3543387137. The reversal of 3543387120 is 217833453.

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

It is a congruent number.

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, 1768039 + ... + 1770041.

Almost surely, 2^3543387120 is an apocalyptic number.

3543387120 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 3543387120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598013696).

3543387120 is an abundant number, since it is smaller than the sum of its proper divisors (11652640272).

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

3543387120 is a wasteful number, since it uses less digits than its factorization.

3543387120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3543387120 is about 59526.3565154126. The cubic root of 3543387120 is about 1524.5424939524.

The spelling of 3543387120 in words is "three billion, five hundred forty-three million, three hundred eighty-seven thousand, one hundred twenty".