1334532672 has 336 divisors, whose sum is σ = 4493361600. Its totient is φ = 389007360.

The previous prime is 1334532653. The next prime is 1334532673. The reversal of 1334532672 is 2762354331.

1334532672 is a `hidden beast` number, since 133 + 453 + 2 + 6 + 72 = 666.

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

Its product of digits (90720) is a multiple of the sum of its prime factors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334532673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4960954 + ... + 4961222.

It is an arithmetic number, because the mean of its divisors is an integer number (13373100).

Almost surely, 2^1334532672 is an apocalyptic number.

1334532672 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 1334532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246680800).

1334532672 is an abundant number, since it is smaller than the sum of its proper divisors (3158828928).

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

1334532672 is a wasteful number, since it uses less digits than its factorization.

1334532672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 314 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 1334532672 is about 36531.2560966633. The cubic root of 1334532672 is about 1100.9723281510.

The spelling of 1334532672 in words is "one billion, three hundred thirty-four million, five hundred thirty-two thousand, six hundred seventy-two".