3438415044 has 81 divisors (see below), whose sum is σ = 9028382727. Its totient is φ = 1103332608.

The previous prime is 3438415037. The next prime is 3438415093. The reversal of 3438415044 is 4405148343.

The square root of 3438415044 is 58638.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 156500100 + 3281914944 = 12510^2 + 57288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10202844 + ... + 10203180.

Almost surely, 2^3438415044 is an apocalyptic number.

3438415044 is the 58638-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3438415044

3438415044 is an abundant number, since it is smaller than the sum of its proper divisors (5589967683).

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

3438415044 is a wasteful number, since it uses less digits than its factorization.

3438415044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The cubic root of 3438415044 is about 1509.3365861962.

Multiplying 3438415044 by its sum of digits (36), we get a square (123782941584 = 351828²).

3438415044 divided by its sum of digits (36) gives a square (95511529 = 9773²).

The spelling of 3438415044 in words is "three billion, four hundred thirty-eight million, four hundred fifteen thousand, forty-four".