3465753876 has 72 divisors (see below), whose sum is σ = 9446990280. Its totient is φ = 1064980224.

The previous prime is 3465753871. The next prime is 3465753883. The reversal of 3465753876 is 6783575643.

3465753876 is a `hidden beast` number, since 34 + 6 + 5 + 7 + 538 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39992976 + 3425760900 = 6324^2 + 58530^2 .

It is a super-2 number, since 2×3465753876² = 24022899858018046752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3465753871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383506 + ... + 392438.

Almost surely, 2^3465753876 is an apocalyptic number.

3465753876 is a gapful number since it is divisible by the number (36) 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 3465753876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723495140).

3465753876 is an abundant number, since it is smaller than the sum of its proper divisors (5981236404).

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

3465753876 is a wasteful number, since it uses less digits than its factorization.

3465753876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9785 (or 9780 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The square root of 3465753876 is about 58870.6537758840. The cubic root of 3465753876 is about 1513.3262749880.

The spelling of 3465753876 in words is "three billion, four hundred sixty-five million, seven hundred fifty-three thousand, eight hundred seventy-six".