3441973500 has 672 divisors, whose sum is σ = 13749765120. Its totient is φ = 734832000.

The previous prime is 3441973499. The next prime is 3441973537. The reversal of 3441973500 is 53791443.

3441973500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3441973500³ (a number of 30 digits) contains 333 as substring.

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 223 ways as a sum of consecutive naturals, for example, 48478465 + ... + 48478535.

It is an arithmetic number, because the mean of its divisors is an integer number (20460960).

Almost surely, 2^3441973500 is an apocalyptic number.

3441973500 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 3441973500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874882560).

3441973500 is an abundant number, since it is smaller than the sum of its proper divisors (10307791620).

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

3441973500 is a wasteful number, since it uses less digits than its factorization.

3441973500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3441973500 is about 58668.3347300739. The cubic root of 3441973500 is about 1509.8570833848.

The spelling of 3441973500 in words is "three billion, four hundred forty-one million, nine hundred seventy-three thousand, five hundred".