3434541440 has 96 divisors (see below), whose sum is σ = 9025188480. Its totient is φ = 1248896000.

The previous prime is 3434541437. The next prime is 3434541463. The reversal of 3434541440 is 441454343.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3434541397 and 3434541406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55265 + ... + 99615.

It is an arithmetic number, because the mean of its divisors is an integer number (94012380).

Almost surely, 2^3434541440 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 3434541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512594240).

3434541440 is an abundant number, since it is smaller than the sum of its proper divisors (5590647040).

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

3434541440 is a wasteful number, since it uses less digits than its factorization.

3434541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44392 (or 44369 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 3434541440 is about 58604.9608821642. The cubic root of 3434541440 is about 1508.7695837590.

Adding to 3434541440 its reverse (441454343), we get a palindrome (3875995783).

The spelling of 3434541440 in words is "three billion, four hundred thirty-four million, five hundred forty-one thousand, four hundred forty".