3216877440 has 384 divisors, whose sum is σ = 12323819520. Its totient is φ = 710922240.

The previous prime is 3216877439. The next prime is 3216877501. The reversal of 3216877440 is 447786123.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3216877392 and 3216877401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2915929 + ... + 2917031.

It is an arithmetic number, because the mean of its divisors is an integer number (32093280).

Almost surely, 2^3216877440 is an apocalyptic number.

3216877440 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 3216877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161909760).

3216877440 is an abundant number, since it is smaller than the sum of its proper divisors (9106942080).

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

3216877440 is a wasteful number, since it uses less digits than its factorization.

3216877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 3216877440 is about 56717.5232181378. The cubic root of 3216877440 is about 1476.1987673062.

The spelling of 3216877440 in words is "three billion, two hundred sixteen million, eight hundred seventy-seven thousand, four hundred forty".