3292887360 has 448 divisors, whose sum is σ = 12608478720. Its totient is φ = 712212480.

The previous prime is 3292887341. The next prime is 3292887361. The reversal of 3292887360 is 637882923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3292887361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11887542 + ... + 11887818.

Almost surely, 2^3292887360 is an apocalyptic number.

3292887360 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 3292887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304239360).

3292887360 is an abundant number, since it is smaller than the sum of its proper divisors (9315591360).

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

3292887360 is a wasteful number, since it uses less digits than its factorization.

3292887360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3292887360 is about 57383.6854863819. The cubic root of 3292887360 is about 1487.7351534644.

The spelling of 3292887360 in words is "three billion, two hundred ninety-two million, eight hundred eighty-seven thousand, three hundred sixty".