3438625440 has 48 divisors (see below), whose sum is σ = 10831671648. Its totient is φ = 916966656.

The previous prime is 3438625423. The next prime is 3438625441. The reversal of 3438625440 is 445268343.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3438625441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3581422 + ... + 3582381.

It is an arithmetic number, because the mean of its divisors is an integer number (225659826).

Almost surely, 2^3438625440 is an apocalyptic number.

3438625440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3438625440 is an abundant number, since it is smaller than the sum of its proper divisors (7393046208).

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

3438625440 is a wasteful number, since it uses less digits than its factorization.

3438625440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7163821 (or 7163813 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 3438625440 is about 58639.7939969096. The cubic root of 3438625440 is about 1509.3673709133.

The spelling of 3438625440 in words is "three billion, four hundred thirty-eight million, six hundred twenty-five thousand, four hundred forty".