3872462929920 has 1904 divisors, whose sum is σ = 15884735660640. Its totient is φ = 898948399104.

The previous prime is 3872462929873. The next prime is 3872462929967. The reversal of 3872462929920 is 299292642783.

3872462929920 is a `hidden beast` number, since 3 + 87 + 2 + 462 + 9 + 2 + 9 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3872462929873) and next prime (3872462929967).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 90057277419 + ... + 90057277461.

Almost surely, 2^{3872462929920} is an apocalyptic number.

3872462929920 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 3872462929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7942367830320).

3872462929920 is an abundant number, since it is smaller than the sum of its proper divisors (12012272730720).

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

3872462929920 is an frugal number, since it uses more digits than its factorization.

3872462929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 3872462929920 in words is "three trillion, eight hundred seventy-two billion, four hundred sixty-two million, nine hundred twenty-nine thousand, nine hundred twenty".