1334466672 has 320 divisors, whose sum is σ = 4677795840. Its totient is φ = 317260800.

The previous prime is 1334466643. The next prime is 1334466713. The reversal of 1334466672 is 2766644331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2176638 + ... + 2177250.

It is an arithmetic number, because the mean of its divisors is an integer number (14618112).

Almost surely, 2^1334466672 is an apocalyptic number.

1334466672 is a gapful number since it is divisible by the number (12) 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 1334466672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338897920).

1334466672 is an abundant number, since it is smaller than the sum of its proper divisors (3343329168).

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

1334466672 is a wasteful number, since it uses less digits than its factorization.

1334466672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The square root of 1334466672 is about 36530.3527494603. The cubic root of 1334466672 is about 1100.9541781341.

The spelling of 1334466672 in words is "one billion, three hundred thirty-four million, four hundred sixty-six thousand, six hundred seventy-two".