3488705136 has 480 divisors, whose sum is σ = 12349209600. Its totient is φ = 916489728.

The previous prime is 3488705131. The next prime is 3488705153. The reversal of 3488705136 is 6315078843.

It is a junction number, because it is equal to n+sod(n) for n = 3488705091 and 3488705100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3488705131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42032551 + ... + 42032633.

It is an arithmetic number, because the mean of its divisors is an integer number (25727520).

Almost surely, 2^3488705136 is an apocalyptic number.

3488705136 is a gapful number since it is divisible by the number (36) 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 3488705136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174604800).

3488705136 is an abundant number, since it is smaller than the sum of its proper divisors (8860504464).

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

3488705136 is a wasteful number, since it uses less digits than its factorization.

3488705136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3488705136 is about 59065.2616687677. The cubic root of 3488705136 is about 1516.6594945091.

The spelling of 3488705136 in words is "three billion, four hundred eighty-eight million, seven hundred five thousand, one hundred thirty-six".