3465147800 has 192 divisors, whose sum is σ = 9074419200. Its totient is φ = 1224115200.

The previous prime is 3465147793. The next prime is 3465147809. The reversal of 3465147800 is 87415643.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3465147809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3582917 + ... + 3583883.

It is an arithmetic number, because the mean of its divisors is an integer number (47262600).

Almost surely, 2^3465147800 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 3465147800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537209600).

3465147800 is an abundant number, since it is smaller than the sum of its proper divisors (5609271400).

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

3465147800 is a wasteful number, since it uses less digits than its factorization.

3465147800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 3465147800 is about 58865.5060285733. The cubic root of 3465147800 is about 1513.2380552011.

The spelling of 3465147800 in words is "three billion, four hundred sixty-five million, one hundred forty-seven thousand, eight hundred".