1342976544 has 768 divisors, whose sum is σ = 5419008000. Its totient is φ = 313528320.

The previous prime is 1342976527. The next prime is 1342976627. The reversal of 1342976544 is 4456792431.

1342976544 is a `hidden beast` number, since 1 + 34 + 2 + 9 + 76 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1342976544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43321809 + ... + 43321839.

It is an arithmetic number, because the mean of its divisors is an integer number (7056000).

Almost surely, 2^1342976544 is an apocalyptic number.

1342976544 is a gapful number since it is divisible by the number (14) 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 1342976544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709504000).

1342976544 is an abundant number, since it is smaller than the sum of its proper divisors (4076031456).

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

1342976544 is a wasteful number, since it uses less digits than its factorization.

1342976544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 1342976544 is about 36646.6443757133. The cubic root of 1342976544 is about 1103.2894766498.

The spelling of 1342976544 in words is "one billion, three hundred forty-two million, nine hundred seventy-six thousand, five hundred forty-four".