3867002496 has 288 divisors, whose sum is σ = 13167180000. Its totient is φ = 1067074560.

The previous prime is 3867002479. The next prime is 3867002507. The reversal of 3867002496 is 6942007683.

3867002496 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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, 7749255 + ... + 7749753.

It is an arithmetic number, because the mean of its divisors is an integer number (45719375).

Almost surely, 2^3867002496 is an apocalyptic number.

3867002496 is a gapful number since it is divisible by the number (36) 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 3867002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583590000).

3867002496 is an abundant number, since it is smaller than the sum of its proper divisors (9300177504).

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

3867002496 is a wasteful number, since it uses less digits than its factorization.

3867002496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 542 counting only the distinct ones).

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

The square root of 3867002496 is about 62185.2273132454. The cubic root of 3867002496 is about 1569.6090140292.

The spelling of 3867002496 in words is "three billion, eight hundred sixty-seven million, two thousand, four hundred ninety-six".