3465213480 has 512 divisors, whose sum is σ = 12773376000. Its totient is φ = 833172480.

The previous prime is 3465213463. The next prime is 3465213481. The reversal of 3465213480 is 843125643.

3465213480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3465213481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41749519 + ... + 41749601.

It is an arithmetic number, because the mean of its divisors is an integer number (24948000).

Almost surely, 2^3465213480 is an apocalyptic number.

3465213480 is a gapful number since it is divisible by the number (30) 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 3465213480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386688000).

3465213480 is an abundant number, since it is smaller than the sum of its proper divisors (9308162520).

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

3465213480 is a wasteful number, since it uses less digits than its factorization.

3465213480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3465213480 is about 58866.0639078238. The cubic root of 3465213480 is about 1513.2476160100.

The spelling of 3465213480 in words is "three billion, four hundred sixty-five million, two hundred thirteen thousand, four hundred eighty".