3488921100 has 576 divisors, whose sum is σ = 13529134080. Its totient is φ = 764225280.

The previous prime is 3488921087. The next prime is 3488921131. The reversal of 3488921100 is 11298843.

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 191 ways as a sum of consecutive naturals, for example, 65828674 + ... + 65828726.

It is an arithmetic number, because the mean of its divisors is an integer number (23488080).

Almost surely, 2^3488921100 is an apocalyptic number.

3488921100 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 3488921100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764567040).

3488921100 is an abundant number, since it is smaller than the sum of its proper divisors (10040212980).

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

3488921100 is a wasteful number, since it uses less digits than its factorization.

3488921100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3488921100 is about 59067.0898216596. The cubic root of 3488921100 is about 1516.6907895102.

The spelling of 3488921100 in words is "three billion, four hundred eighty-eight million, nine hundred twenty-one thousand, one hundred".