4087738368 has 468 divisors, whose sum is σ = 14372649408. Its totient is φ = 1114767360.

The previous prime is 4087738351. The next prime is 4087738393. The reversal of 4087738368 is 8638377804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55996380 + ... + 55996452.

Almost surely, 2^4087738368 is an apocalyptic number.

4087738368 is a gapful number since it is divisible by the number (48) 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 4087738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186324704).

4087738368 is an abundant number, since it is smaller than the sum of its proper divisors (10284911040).

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

4087738368 is a wasteful number, since it uses less digits than its factorization.

4087738368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 4087738368 is about 63935.4234208236. The cubic root of 4087738368 is about 1598.9235426038.

The spelling of 4087738368 in words is "four billion, eighty-seven million, seven hundred thirty-eight thousand, three hundred sixty-eight".