3267613440 has 576 divisors, whose sum is σ = 14285107200. Its totient is φ = 688766976.

The previous prime is 3267613417. The next prime is 3267613457. The reversal of 3267613440 is 443167623.

It is a happy number.

3267613440 is a `hidden beast` number, since 32 + 6 + 7 + 613 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×3267613440⁴ (a number of 39 digits) contains 4444 as substring.

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 = 3267613395 and 3267613404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144441 + ... + 3145479.

Almost surely, 2^3267613440 is an apocalyptic number.

3267613440 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 3267613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142553600).

3267613440 is an abundant number, since it is smaller than the sum of its proper divisors (11017493760).

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

3267613440 is a wasteful number, since it uses less digits than its factorization.

3267613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3267613440 is about 57163.0426062154. The cubic root of 3267613440 is about 1483.9190991514.

The spelling of 3267613440 in words is "three billion, two hundred sixty-seven million, six hundred thirteen thousand, four hundred forty".