3457184464 has 60 divisors (see below), whose sum is σ = 7425087264. Its totient is φ = 1556127232.

The previous prime is 3457184461. The next prime is 3457184483. The reversal of 3457184464 is 4644817543.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3457184461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90099 + ... + 122605.

Almost surely, 2^3457184464 is an apocalyptic number.

3457184464 is a gapful number since it is divisible by the number (34) 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 3457184464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712543632).

3457184464 is an abundant number, since it is smaller than the sum of its proper divisors (3967902800).

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

3457184464 is a wasteful number, since it uses less digits than its factorization.

3457184464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32572 (or 32549 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 46.

The square root of 3457184464 is about 58797.8270346788. The cubic root of 3457184464 is about 1512.0779636553.

The spelling of 3457184464 in words is "three billion, four hundred fifty-seven million, one hundred eighty-four thousand, four hundred sixty-four".