1007334372 has 96 divisors (see below), whose sum is σ = 2686924800. Its totient is φ = 290908800.

The previous prime is 1007334359. The next prime is 1007334413. The reversal of 1007334372 is 2734337001.

1007334372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300747 + ... + 304077.

It is an arithmetic number, because the mean of its divisors is an integer number (27988800).

Almost surely, 2^1007334372 is an apocalyptic number.

1007334372 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 1007334372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343462400).

1007334372 is an abundant number, since it is smaller than the sum of its proper divisors (1679590428).

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

1007334372 is a wasteful number, since it uses less digits than its factorization.

1007334372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 1007334372 is about 31738.5313459839. The cubic root of 1007334372 is about 1002.4388379010.

The spelling of 1007334372 in words is "one billion, seven million, three hundred thirty-four thousand, three hundred seventy-two".