3438433152 has 640 divisors, whose sum is σ = 13151635200. Its totient is φ = 865935360.

The previous prime is 3438433151. The next prime is 3438433153. The reversal of 3438433152 is 2513348343.

It is an interprime number because it is at equal distance from previous prime (3438433151) and next prime (3438433153).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438433151) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47101788 + ... + 47101860.

It is an arithmetic number, because the mean of its divisors is an integer number (20549430).

Almost surely, 2^3438433152 is an apocalyptic number.

3438433152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3438433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575817600).

3438433152 is an abundant number, since it is smaller than the sum of its proper divisors (9713202048).

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

3438433152 is a wasteful number, since it uses less digits than its factorization.

3438433152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3438433152 is about 58638.1544047901. The cubic root of 3438433152 is about 1509.3392357715.

The spelling of 3438433152 in words is "three billion, four hundred thirty-eight million, four hundred thirty-three thousand, one hundred fifty-two".