3467765280 has 288 divisors, whose sum is σ = 12981378816. Its totient is φ = 775520256.

The previous prime is 3467765267. The next prime is 3467765311. The reversal of 3467765280 is 825677643.

It is a super-3 number, since 3×3467765280³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103872 + ... + 1107008.

It is an arithmetic number, because the mean of its divisors is an integer number (45074232).

Almost surely, 2^3467765280 is an apocalyptic number.

3467765280 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 3467765280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6490689408).

3467765280 is an abundant number, since it is smaller than the sum of its proper divisors (9513613536).

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

3467765280 is a wasteful number, since it uses less digits than its factorization.

3467765280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 3467765280 is about 58887.7345463383. The cubic root of 3467765280 is about 1513.6189791597.

The spelling of 3467765280 in words is "three billion, four hundred sixty-seven million, seven hundred sixty-five thousand, two hundred eighty".