3472791840 has 384 divisors, whose sum is σ = 14235056640. Its totient is φ = 774144000.

The previous prime is 3472791821. The next prime is 3472791853. The reversal of 3472791840 is 481972743.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1238440 + ... + 1241240.

It is an arithmetic number, because the mean of its divisors is an integer number (37070460).

Almost surely, 2^3472791840 is an apocalyptic number.

3472791840 is a gapful number since it is divisible by the number (30) 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 3472791840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117528320).

3472791840 is an abundant number, since it is smaller than the sum of its proper divisors (10762264800).

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

3472791840 is a wasteful number, since it uses less digits than its factorization.

3472791840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3472791840 is about 58930.3982677871. The cubic root of 3472791840 is about 1514.3499613013.

The spelling of 3472791840 in words is "three billion, four hundred seventy-two million, seven hundred ninety-one thousand, eight hundred forty".