3543390900 has 216 divisors, whose sum is σ = 13251651840. Its totient is φ = 809887680.

The previous prime is 3543390889. The next prime is 3543390901. The reversal of 3543390900 is 90933453.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3543390901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118909 + ... + 145691.

It is an arithmetic number, because the mean of its divisors is an integer number (61350240).

Almost surely, 2^3543390900 is an apocalyptic number.

3543390900 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 3543390900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625825920).

3543390900 is an abundant number, since it is smaller than the sum of its proper divisors (9708260940).

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

3543390900 is a wasteful number, since it uses less digits than its factorization.

3543390900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26820 (or 26800 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 3543390900 is about 59526.3882660455. The cubic root of 3543390900 is about 1524.5430360673.

The spelling of 3543390900 in words is "three billion, five hundred forty-three million, three hundred ninety thousand, nine hundred".