3469312000 has 384 divisors, whose sum is σ = 10877761440. Its totient is φ = 1081344000.

The previous prime is 3469311961. The next prime is 3469312031. The reversal of 3469312000 is 2139643.

It is a super-2 number, since 2×3469312000² = 24072251506688000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3469312000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315391995 + ... + 315392005.

Almost surely, 2^3469312000 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 3469312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438880720).

3469312000 is an abundant number, since it is smaller than the sum of its proper divisors (7408449440).

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

3469312000 is an frugal number, since it uses more digits than its factorization.

3469312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 3469312000 is about 58900.8658679989. The cubic root of 3469312000 is about 1513.8439844655.

The spelling of 3469312000 in words is "three billion, four hundred sixty-nine million, three hundred twelve thousand".