3464777680 has 320 divisors, whose sum is σ = 10734312960. Its totient is φ = 1009262592.

The previous prime is 3464777671. The next prime is 3464777681. The reversal of 3464777680 is 867774643.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3464777681) 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, 5117502 + ... + 5118178.

It is an arithmetic number, because the mean of its divisors is an integer number (33544728).

Almost surely, 2^3464777680 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 3464777680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367156480).

3464777680 is an abundant number, since it is smaller than the sum of its proper divisors (7269535280).

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

3464777680 is a wasteful number, since it uses less digits than its factorization.

3464777680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 52.

The square root of 3464777680 is about 58862.3621680272. The cubic root of 3464777680 is about 1513.1841758629.

The spelling of 3464777680 in words is "three billion, four hundred sixty-four million, seven hundred seventy-seven thousand, six hundred eighty".