4003969536 has 480 divisors, whose sum is σ = 14442468480. Its totient is φ = 1089994752.

The previous prime is 4003969511. The next prime is 4003969547. The reversal of 4003969536 is 6359693004.

It is a happy number.

4003969536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4003969491 and 4003969500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15579520 + ... + 15579776.

It is an arithmetic number, because the mean of its divisors is an integer number (30088476).

Almost surely, 2^4003969536 is an apocalyptic number.

4003969536 is a gapful number since it is divisible by the number (46) 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 4003969536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221234240).

4003969536 is an abundant number, since it is smaller than the sum of its proper divisors (10438498944).

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

4003969536 is a wasteful number, since it uses less digits than its factorization.

4003969536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 4003969536 is about 63276.9273590303. The cubic root of 4003969536 is about 1587.9259821642.

The spelling of 4003969536 in words is "four billion, three million, nine hundred sixty-nine thousand, five hundred thirty-six".