3424504141464 has 128 divisors (see below), whose sum is σ = 9974737405440. Its totient is φ = 959407368192.

The previous prime is 3424504141459. The next prime is 3424504141469. The reversal of 3424504141464 is 4641414054243.

It is an interprime number because it is at equal distance from previous prime (3424504141459) and next prime (3424504141469).

It is a super-2 number, since 2×3424504141464² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424504141469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15229984 + ... + 15453200.

It is an arithmetic number, because the mean of its divisors is an integer number (77927635980).

Almost surely, 2^{3424504141464} 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 3424504141464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987368702720).

3424504141464 is an abundant number, since it is smaller than the sum of its proper divisors (6550233263976).

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

3424504141464 is a wasteful number, since it uses less digits than its factorization.

3424504141464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225009 (or 225005 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 3424504141464 in words is "three trillion, four hundred twenty-four billion, five hundred four million, one hundred forty-one thousand, four hundred sixty-four".