4006387296 has 72 divisors (see below), whose sum is σ = 11888538480. Its totient is φ = 1277396736.

The previous prime is 4006387249. The next prime is 4006387303. The reversal of 4006387296 is 6927836004.

4006387296 is a `hidden beast` number, since 4 + 0 + 0 + 638 + 7 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4006387296² = 32102278331100383232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 295791 + ... + 309038.

It is an arithmetic number, because the mean of its divisors is an integer number (165118590).

Almost surely, 2^4006387296 is an apocalyptic number.

4006387296 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4006387296 is an abundant number, since it is smaller than the sum of its proper divisors (7882151184).

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

4006387296 is a wasteful number, since it uses less digits than its factorization.

4006387296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604868 (or 604857 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4006387296 is about 63296.0290697608. The cubic root of 4006387296 is about 1588.2455359959.

The spelling of 4006387296 in words is "four billion, six million, three hundred eighty-seven thousand, two hundred ninety-six".