3411454464 has 480 divisors, whose sum is σ = 11789084736. Its totient is φ = 937820160.

The previous prime is 3411454441. The next prime is 3411454471. The reversal of 3411454464 is 4644541143.

3411454464 is a `hidden beast` number, since 3 + 41 + 14 + 544 + 64 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31882699 + ... + 31882805.

Almost surely, 2^3411454464 is an apocalyptic number.

3411454464 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 3411454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894542368).

3411454464 is an abundant number, since it is smaller than the sum of its proper divisors (8377630272).

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

3411454464 is a wasteful number, since it uses less digits than its factorization.

3411454464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 3411454464 is about 58407.6575801495. The cubic root of 3411454464 is about 1505.3813324207.

The spelling of 3411454464 in words is "three billion, four hundred eleven million, four hundred fifty-four thousand, four hundred sixty-four".