970800348 has 72 divisors (see below), whose sum is σ = 2668512000. Its totient is φ = 273847392.

The previous prime is 970800329. The next prime is 970800349. The reversal of 970800348 is 843008079.

It is a super-2 number, since 2×970800348² = 1884906631353842208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970800349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36003 + ... + 56901.

Almost surely, 2^970800348 is an apocalyptic number.

970800348 is a gapful number since it is divisible by the number (98) 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 970800348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334256000).

970800348 is an abundant number, since it is smaller than the sum of its proper divisors (1697711652).

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

970800348 is a wasteful number, since it uses less digits than its factorization.

970800348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20999 (or 20990 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 970800348 is about 31157.6691682802. The cubic root of 970800348 is about 990.1704797731.

The spelling of 970800348 in words is "nine hundred seventy million, eight hundred thousand, three hundred forty-eight".