3461024512 has 144 divisors (see below), whose sum is σ = 7977682944. Its totient is φ = 1483776000.

The previous prime is 3461024473. The next prime is 3461024519. The reversal of 3461024512 is 2154201643.

It is not an unprimeable number, because it can be changed into a prime (3461024519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3578653 + ... + 3579619.

It is an arithmetic number, because the mean of its divisors is an integer number (55400576).

Almost surely, 2^3461024512 is an apocalyptic number.

3461024512 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 3461024512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988841472).

3461024512 is an abundant number, since it is smaller than the sum of its proper divisors (4516658432).

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

3461024512 is a wasteful number, since it uses less digits than its factorization.

3461024512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 3461024512 is about 58830.4726481098. The cubic root of 3461024512 is about 1512.6376005041.

The spelling of 3461024512 in words is "three billion, four hundred sixty-one million, twenty-four thousand, five hundred twelve".