3465921312 has 360 divisors, whose sum is σ = 12279280860. Its totient is φ = 955100160.

The previous prime is 3465921299. The next prime is 3465921337. The reversal of 3465921312 is 2131295643.

3465921312 is a `hidden beast` number, since 3 + 46 + 592 + 13 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3447568656 + 18352656 = 58716^2 + 4284^2 .

It is a super-2 number, since 2×3465921312² = 24025221081951602688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3682762 + ... + 3683702.

Almost surely, 2^3465921312 is an apocalyptic number.

3465921312 is a gapful number since it is divisible by the number (32) 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 3465921312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139640430).

3465921312 is an abundant number, since it is smaller than the sum of its proper divisors (8813359548).

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

3465921312 is a wasteful number, since it uses less digits than its factorization.

3465921312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 982 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3465921312 is about 58872.0758254709. The cubic root of 3465921312 is about 1513.3506449834.

The spelling of 3465921312 in words is "three billion, four hundred sixty-five million, nine hundred twenty-one thousand, three hundred twelve".