3438075648 has 144 divisors (see below), whose sum is σ = 11072920320. Its totient is φ = 924499968.

The previous prime is 3438075637. The next prime is 3438075649. The reversal of 3438075648 is 8465708343.

3438075648 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-2 number, since 2×3438075648² = 23640728322741239808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3438075597 and 3438075606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438075649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72583 + ... + 110201.

It is an arithmetic number, because the mean of its divisors is an integer number (76895280).

Almost surely, 2^3438075648 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 3438075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536460160).

3438075648 is an abundant number, since it is smaller than the sum of its proper divisors (7634844672).

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

3438075648 is a wasteful number, since it uses less digits than its factorization.

3438075648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37662 (or 37648 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 3438075648 is about 58635.1059349260. The cubic root of 3438075648 is about 1509.2869238131.

The spelling of 3438075648 in words is "three billion, four hundred thirty-eight million, seventy-five thousand, six hundred forty-eight".