3438535520 has 192 divisors, whose sum is σ = 9616029696. Its totient is φ = 1137438720.

The previous prime is 3438535493. The next prime is 3438535567. The reversal of 3438535520 is 255358343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4729397 + ... + 4730123.

It is an arithmetic number, because the mean of its divisors is an integer number (50083488).

Almost surely, 2^3438535520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3438535520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808014848).

3438535520 is an abundant number, since it is smaller than the sum of its proper divisors (6177494176).

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

3438535520 is a wasteful number, since it uses less digits than its factorization.

3438535520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The square root of 3438535520 is about 58639.0272770618. The cubic root of 3438535520 is about 1509.3542141545.

The spelling of 3438535520 in words is "three billion, four hundred thirty-eight million, five hundred thirty-five thousand, five hundred twenty".