4032987904 has 72 divisors (see below), whose sum is σ = 9065548800. Its totient is φ = 1774003200.

The previous prime is 4032987869. The next prime is 4032987941. The reversal of 4032987904 is 4097892304.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64197 + ... + 110395.

It is an arithmetic number, because the mean of its divisors is an integer number (125910400).

Almost surely, 2^4032987904 is an apocalyptic number.

4032987904 is a gapful number since it is divisible by the number (44) 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 4032987904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532774400).

4032987904 is an abundant number, since it is smaller than the sum of its proper divisors (5032560896).

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

4032987904 is a wasteful number, since it uses less digits than its factorization.

4032987904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46257 (or 46243 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 4032987904 is about 63505.8100019203. The cubic root of 4032987904 is about 1591.7528635001.

It can be divided in two parts, 4032 and 987904, that added together give a triangular number (991936 = T₁₄₀₈).

The spelling of 4032987904 in words is "four billion, thirty-two million, nine hundred eighty-seven thousand, nine hundred four".