3567421440 has 960 divisors, whose sum is σ = 15411876480. Its totient is φ = 778567680.

The previous prime is 3567421393. The next prime is 3567421447. The reversal of 3567421440 is 441247653.

3567421440 is a `hidden beast` number, since 3 + 567 + 42 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3567421395 and 3567421404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3567421447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155105269 + ... + 155105291.

It is an arithmetic number, because the mean of its divisors is an integer number (16054038).

Almost surely, 2^3567421440 is an apocalyptic number.

3567421440 is a gapful number since it is divisible by the number (30) 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 3567421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705938240).

3567421440 is an abundant number, since it is smaller than the sum of its proper divisors (11844455040).

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

3567421440 is a wasteful number, since it uses less digits than its factorization.

3567421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3567421440 is about 59727.8949905319. The cubic root of 3567421440 is about 1527.9816523294.

The spelling of 3567421440 in words is "three billion, five hundred sixty-seven million, four hundred twenty-one thousand, four hundred forty".