4340782992 has 320 divisors, whose sum is σ = 14924044800. Its totient is φ = 1076576256.

The previous prime is 4340782991. The next prime is 4340782993. The reversal of 4340782992 is 2992870434.

It is an interprime number because it is at equal distance from previous prime (4340782991) and next prime (4340782993).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4340782991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3637948 + ... + 3639140.

It is an arithmetic number, because the mean of its divisors is an integer number (46637640).

Almost surely, 2^4340782992 is an apocalyptic number.

4340782992 is a gapful number since it is divisible by the number (42) 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 4340782992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7462022400).

4340782992 is an abundant number, since it is smaller than the sum of its proper divisors (10583261808).

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

4340782992 is a wasteful number, since it uses less digits than its factorization.

4340782992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 4340782992 is about 65884.6187816246. The cubic root of 4340782992 is about 1631.2581391294.

The spelling of 4340782992 in words is "four billion, three hundred forty million, seven hundred eighty-two thousand, nine hundred ninety-two".