3623778432 has 128 divisors (see below), whose sum is σ = 11160432000. Its totient is φ = 1155382272.

The previous prime is 3623778413. The next prime is 3623778437. The reversal of 3623778432 is 2348773263.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3623778437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56694 + ... + 102282.

It is an arithmetic number, because the mean of its divisors is an integer number (87190875).

Almost surely, 2^3623778432 is an apocalyptic number.

3623778432 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 3623778432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580216000).

3623778432 is an abundant number, since it is smaller than the sum of its proper divisors (7536653568).

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

3623778432 is a wasteful number, since it uses less digits than its factorization.

3623778432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45635 (or 45617 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 3623778432 is about 60197.8274691039. The cubic root of 3623778432 is about 1535.9858397132.

The spelling of 3623778432 in words is "three billion, six hundred twenty-three million, seven hundred seventy-eight thousand, four hundred thirty-two".