3712009920 has 112 divisors (see below), whose sum is σ = 11812816608. Its totient is φ = 987586560.

The previous prime is 3712009811. The next prime is 3712009949. The reversal of 3712009920 is 299002173.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434490 + ... + 442950.

Almost surely, 2^3712009920 is an apocalyptic number.

3712009920 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 3712009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906408304).

3712009920 is an abundant number, since it is smaller than the sum of its proper divisors (8100806688).

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

3712009920 is a wasteful number, since it uses less digits than its factorization.

3712009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8938 (or 8928 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 3712009920 is about 60926.2662568452. The cubic root of 3712009920 is about 1548.3520355278.

The spelling of 3712009920 in words is "three billion, seven hundred twelve million, nine thousand, nine hundred twenty".