3433987872 has 240 divisors, whose sum is σ = 11763081792. Its totient is φ = 962357760.

The previous prime is 3433987853. The next prime is 3433987877. The reversal of 3433987872 is 2787893343.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3433987877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 959847 + ... + 963417.

Almost surely, 2^3433987872 is an apocalyptic number.

3433987872 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 3433987872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881540896).

3433987872 is an abundant number, since it is smaller than the sum of its proper divisors (8329093920).

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

3433987872 is a wasteful number, since it uses less digits than its factorization.

3433987872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3636 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 3433987872 is about 58600.2378152171. The cubic root of 3433987872 is about 1508.6885199109.

The spelling of 3433987872 in words is "three billion, four hundred thirty-three million, nine hundred eighty-seven thousand, eight hundred seventy-two".