3468927280 has 320 divisors, whose sum is σ = 10799308800. Its totient is φ = 1005281280.

The previous prime is 3468927271. The next prime is 3468927313. The reversal of 3468927280 is 827298643.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

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, 4287516 + ... + 4288324.

It is an arithmetic number, because the mean of its divisors is an integer number (33747840).

Almost surely, 2^3468927280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3468927280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399654400).

3468927280 is an abundant number, since it is smaller than the sum of its proper divisors (7330381520).

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

3468927280 is a wasteful number, since it uses less digits than its factorization.

3468927280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The square root of 3468927280 is about 58897.5999511016. The cubic root of 3468927280 is about 1513.7880245146.

The spelling of 3468927280 in words is "three billion, four hundred sixty-eight million, nine hundred twenty-seven thousand, two hundred eighty".