3505136880 has 160 divisors (see below), whose sum is σ = 12445632000. Its totient is φ = 799405056.

The previous prime is 3505136879. The next prime is 3505136897. The reversal of 3505136880 is 886315053.

It is a super-2 number, since 2×3505136880² = 24571969095072268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853071 + ... + 857169.

It is an arithmetic number, because the mean of its divisors is an integer number (77785200).

Almost surely, 2^3505136880 is an apocalyptic number.

3505136880 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 3505136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222816000).

3505136880 is an abundant number, since it is smaller than the sum of its proper divisors (8940495120).

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

3505136880 is a wasteful number, since it uses less digits than its factorization.

3505136880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 3505136880 is about 59204.1964728853. The cubic root of 3505136880 is about 1519.0369129915.

The spelling of 3505136880 in words is "three billion, five hundred five million, one hundred thirty-six thousand, eight hundred eighty".