1352014976 has 96 divisors (see below), whose sum is σ = 2960865180. Its totient is φ = 611297280.

The previous prime is 1352014973. The next prime is 1352014991. The reversal of 1352014976 is 6794102531.

It can be written as a sum of positive squares in 2 ways, for example, as 1000077376 + 351937600 = 31624^2 + 18760^2 .

It is not an unprimeable number, because it can be changed into a prime (1352014973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7469606 + ... + 7469786.

Almost surely, 2^1352014976 is an apocalyptic number.

1352014976 is a gapful number since it is divisible by the number (16) 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 1352014976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480432590).

1352014976 is an abundant number, since it is smaller than the sum of its proper divisors (1608850204).

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

1352014976 is an equidigital number, since it uses as much as digits as its factorization.

1352014976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 1352014976 is about 36769.7562678895. The cubic root of 1352014976 is about 1105.7590455083.

The spelling of 1352014976 in words is "one billion, three hundred fifty-two million, fourteen thousand, nine hundred seventy-six".