1342048032 has 216 divisors, whose sum is σ = 4258266012. Its totient is φ = 398545920.

The previous prime is 1342048031. The next prime is 1342048067. The reversal of 1342048032 is 2308402431.

1342048032 is a `hidden beast` number, since 134 + 20 + 480 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1302055056 + 39992976 = 36084^2 + 6324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1342047987 and 1342048005.

It is not an unprimeable number, because it can be changed into a prime (1342048031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3597798 + ... + 3598170.

Almost surely, 2^1342048032 is an apocalyptic number.

1342048032 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 1342048032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129133006).

1342048032 is an abundant number, since it is smaller than the sum of its proper divisors (2916217980).

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

1342048032 is a wasteful number, since it uses less digits than its factorization.

1342048032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1342048032 is about 36633.9737402319. The cubic root of 1342048032 is about 1103.0351526007.

The spelling of 1342048032 in words is "one billion, three hundred forty-two million, forty-eight thousand, thirty-two".